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Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions
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作者 Aleksandar V.Pejcev Miodrag M.Spalevic 《中国科学:数学英文版》 SCIE CSCD 2019年第9期1657-1668,共12页
Three kinds of effective error bounds of the quadrature formulas with multiple nodes that are generalizations of the well-known Micchelli-Rivlin quadrature formula, when the integrand is a function analytic in the reg... Three kinds of effective error bounds of the quadrature formulas with multiple nodes that are generalizations of the well-known Micchelli-Rivlin quadrature formula, when the integrand is a function analytic in the regions bounded by confocal ellipses, are given. A numerical example which illustrates the calculation of these error bounds is included. 展开更多
关键词 error bound QUADRATURE formula with MULTIPLE NODES analytic function
Estimate and Fekete-Szeg? Inequality for a Class of m-Fold Symmetric Bi-Univalent Function Defined by Subordination
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作者 Dong GUO Huo TANG +1 位作者 En AO Liangpeng XIONG 《数学研究及应用:英文版》 CSCD 2019年第3期295-303,共9页
In this paper, we investigate the coefficient estimate and Fekete-Szeg? inequality of a class of m-fold bi-univalent function defined by subordination. The results presented in this paper improve or generalize the rec... In this paper, we investigate the coefficient estimate and Fekete-Szeg? inequality of a class of m-fold bi-univalent function defined by subordination. The results presented in this paper improve or generalize the recent works of other authors. 展开更多
关键词 analytic FUNCTIONS UNIVALENT FUNCTIONS coefficient estimates m-fold SYMMETRIC bi-univalent function Fekete-Szeg? INEQUALITY SUBORDINATION
Lifespan of Solutions to MHD Boundary Layer Equations with Analytic Perturbation of General Shear Flow
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作者 Feng XIE Tong YANG 《应用数学学报:英文版》 SCIE CSCD 2019年第1期209-229,共21页
In this paper, we consider the lifespan of solution to the MHD boundary layer system as an analytic perturbation of general shear flow. By using the cancellation mechanism in the system observed in [12], the lifespan ... In this paper, we consider the lifespan of solution to the MHD boundary layer system as an analytic perturbation of general shear flow. By using the cancellation mechanism in the system observed in [12], the lifespan of solution is shown to have a lower bound in the order of ε-2- if the strength of the perturbation is of the order of ε. Since there is no restriction on the strength of the shear flow and the lifespan estimate is larger than the one obtained for the classical Prandtl system in this setting, it reveals the stabilizing effect of the magnetic field on the electrically conducting fluid near the boundary. 展开更多
关键词 MHD boundary layer ANALYTIC PERTURBATION LIFESPAN ESTIMATE SHEAR flow
Third Hankel Determinant for Ma-Minda Bi-univalent Functions
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作者 Haiyan ZHANG Huo TANG 《数学研究及应用:英文版》 CSCD 2019年第4期361-377,共17页
In this paper, we investigate the third Hankel determinant H3(1) for the class Hσμ(λ,φ)(λ≥ 1,μ≥ 1) of Ma-Minda bi-univalent functions in the open unit disk D ={z :|z|<1} and obtain the upper bound of the ab... In this paper, we investigate the third Hankel determinant H3(1) for the class Hσμ(λ,φ)(λ≥ 1,μ≥ 1) of Ma-Minda bi-univalent functions in the open unit disk D ={z :|z|<1} and obtain the upper bound of the above determinant H3(1). 展开更多
关键词 analytic FUNCTION HANKEL DETERMINANT Ma-Minda bi-univalent FUNCTION upper bound
广义Schwarz导数与解析Morrey空间 预览
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作者 金建军 李华冰 唐树安 《数学季刊:英文版》 2019年第2期171-187,共17页
In this paper,we study univalent functions f for which log f’belongs to the analytic Morrey spaces.By using the characterization of higher order derivatives of functions in analytic Morrey spaces,we establish some ne... In this paper,we study univalent functions f for which log f’belongs to the analytic Morrey spaces.By using the characterization of higher order derivatives of functions in analytic Morrey spaces,we establish some new descriptions for the analytic Morrey domains in terms of two kinds of generalized Schwarzian derivatives. 展开更多
关键词 ANALYTIC MORREY spaces UNIVALENT functions Schwarzian derivative generalized Schwarzian derivatives CARLESON measure
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Majorization Problems for Some Subclasses of Starlike Functions
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作者 Huo TANG Guantie DENG 《数学研究及应用:英文版》 CSCD 2019年第2期153-159,共7页
In this article, we study several majorizaton properties for the subclasses SL~*,SR~*(a, b), BS~*(α), S_c~*, S_q~* and S_R~* of starlike functions. Meanwhile, some special cases of our main results are given.
关键词 ANALYTIC FUNCTION SUBORDINATION majorization STARLIKE FUNCTION
Chinese Childrenswear Brand Development Path Based on Differentiated Positioning 预览
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作者 侯凤仙 《东华大学学报:英文版》 EI CAS 2019年第2期198-204,共7页
Sorting and collecting the data by questionnaire survey and literature analysis,the childrenswear brand elemental analysis is completed.The development goal of differentiated positioning of Chinese childrenswear brand... Sorting and collecting the data by questionnaire survey and literature analysis,the childrenswear brand elemental analysis is completed.The development goal of differentiated positioning of Chinese childrenswear brands is decided.Four modules which influence the brand differentiated development were extracted to establish the hierarchical analysis framework for the differentiated positioning development of Chinese childrenswear brand.Judgment matrix diagram is constructed by using the analytic hierarchy process(AHP).According to the data analysis and judgment,the core elements,basic elements and auxiliary elements are identified which support the development of differentiated positioning of Chinese childrenswear brands.The clear development path of differentiated positioning of Chinese childrenswear brands is formed,namely to enhance the core essential factors as the key point,to grasp the elements’spirit exactly in differentiated positioning of brand style,childrenswear color feature,green and security of products quality and retail prices which influence the brand differentiated development.The Chinese existing technical advantages was given full play by providing the basic support for the differentiated development of childrenswear brands.Auxiliary elements were heleped to grow by making auxiliary elements play a greater role.The goal was achieved to improve the market competitiveness by development of differentiated positioning of Chinese childrenswear brands. 展开更多
关键词 DIFFERENTIATED POSITIONING childrenswear brands ANALYTIC HIERARCHY process(AHP) element development path
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Multifunctional Landscape Actor-Network Construction from the Perspective of Rural Tourism Experiences 预览
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作者 ZHENG Liaoji WANG Huanyu +1 位作者 LUO Yunyan ZHOU Xiaoli 《景观研究:英文版》 2019年第1期79-86,共8页
During the construction of multifunctional landscape(MFL)actor-network,economic,social,and ecological functions presented significant differences,which resulted from the different roles and effects of various heteroge... During the construction of multifunctional landscape(MFL)actor-network,economic,social,and ecological functions presented significant differences,which resulted from the different roles and effects of various heterogeneous actors according to the tourism experience.In Hekou Village at the border area between China and North Korea,the roles and effects of heterogeneous actors during the MFL actor-network construction were analyzed by means of the analytic network process(ANP),which verified the Groundings-Entrepreneurship-Markets(GEM)theoretical framework of the MFL actor-network that assumed tourism experiences were core actors,and economic,social,and ecological landscape actors acted as support.Research results showed that in the MFL actornetwork construction,social and economic functions of landscapes were strong,while ecological and tourism experience functions were weak and that folk customs and land utilization were key actors of the MFL actor-network construction.In the MFL actor-network construction,actors played different roles and had different effects on the network.Intelligence facilities and rurality were critical to drive the MFL actor network translation process and pass through“obligatory passage point”.By changing the interaction mode and intensity of the actors,the MFL actor-network could be promoted. 展开更多
关键词 MULTIFUNCTIONAL landscape(MFL) Actor-network theory(ANT) Rural tourism Groundings-Entrepreneurship-Markets(GEM) ANALYTIC network process(ANP) Hekou Village
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A PICARD-TYPE THEOREM AND A UNIQUENESS THEOREM OF NON-ARCHIMEDEAN ANALYTIC CURVES IN PROJECTIVE SPACE 预览
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作者 王中华 颜启明 《数学物理学报:B辑英文版》 SCIE CSCD 2019年第4期1053-1064,共12页
In this article, we prove a Picard-type Theorem and a uniqueness theorem for non-Archimedean analytic curves in the projective space Pn(F), where the characteristic of F is 0 or positive. In the main results of this a... In this article, we prove a Picard-type Theorem and a uniqueness theorem for non-Archimedean analytic curves in the projective space Pn(F), where the characteristic of F is 0 or positive. In the main results of this article, we ignore the zeros with large multiplicities. 展开更多
关键词 Picard-type THEOREM uniqueness THEOREM NON-ARCHIMEDEAN ANALYTIC CURVES
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Coefficient Estimates for a Class of m-fold Symmetric Bi-univalent Function Defined by Subordination 预览
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作者 Guo Dong Tang Huo +2 位作者 Ao En Xiong Liang-peng Ji You-qing 《数学研究通讯:英文版》 CSCD 2019年第1期57-64,共8页
In this paper,we investigate the coefficient estimates of a class of m-fold bi-univalent function defined by subordination.The results presented in this paper improve or generalize the recent works of other authors.
关键词 analytic FUNCTION UNIVALENT FUNCTION COEFFICIENT estimate m-fold SYMMETRIC bi-univalent FUNCTION SUBORDINATION
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Initial Bounds for a Subclass of Analytic and Bi-Univalent Functions Defined by Chebyshev Polynomials and q-Differential Operator
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作者 Dong GUO En AO +1 位作者 Huo TANG Liangpeng XIONG 《数学研究及应用:英文版》 CSCD 2019年第5期506-516,共11页
In this paper, we investigate the coefficient estimate and Fekete-Szego inequality of a subclass of analytic and bi-univalent functions defined by Chebyshev polynomials and q- differential operator. The results presen... In this paper, we investigate the coefficient estimate and Fekete-Szego inequality of a subclass of analytic and bi-univalent functions defined by Chebyshev polynomials and q- differential operator. The results presented in this paper improve or generalize the recent works of other authors. 展开更多
关键词 ANALYTIC FUNCTIONS bi-univalent FUNCTIONS coefficient estimates FEKETE-SZEGO inequality Chebyshev polynomials q-differential operator
On the Role of Differentiation Parameter in a Bound State Solution of the Klein-Gordon Equation
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作者 B.C.Lutfuoglu 《理论物理通讯:英文版》 SCIE CAS CSCD 2019年第3期267-273,共7页
Recently, the bound state solutions of a confined Klein-Gordon particle under the mixed scalar-vector generalized symmetric Woods-Saxon potential in one spatial dimension have been investigated. The obtained results r... Recently, the bound state solutions of a confined Klein-Gordon particle under the mixed scalar-vector generalized symmetric Woods-Saxon potential in one spatial dimension have been investigated. The obtained results reveal that in the spin symmetric limit discrete spectrum exists, while in the pseudo-spin symmetric limit it does not.In this manuscript, new insights and information are given by employing an analogy of the variational principle. The role of the difference of the magnitudes of the vector and scalar potential energies, namely the differentiation parameter,on the energy spectrum is examined. It is observed that the differentiation parameter determines the measure of the energy spectrum density by modifying the confined particle’s mass-energy in addition to narrowing the spectrum interval length. 展开更多
关键词 KLEIN-GORDON equation generalized symmetric Woods-Saxon potential BOUND st ate spectrum spin SYMMETRY limit ANALYTIC solutions
由微分算子定义的双单叶函数类的系数估计 预览
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作者 赵伟 秦川 李小飞 《四川师范大学学报:自然科学版》 CAS 北大核心 2019年第3期362-367,共6页
利用一类普通算子定义单位圆盘U内的双单叶解析函数类MN^h,pΣ(λ,μ;m,δ),并研究它的泰勒展式中第2项与第3项系数的估计结果,推广了众多已知文献的结论.
关键词 解析 双单叶 微分算子 从属
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A Nearly Analytic Discrete Method for One-dimensional Unsteady Convection-dominated Diffusion Equations 预览
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作者 Kim Yon-chol Yun Nam Chai Dong-ho 《数学研究通讯:英文版》 CSCD 2019年第3期193-207,共15页
In this paper, a nearly analytic discretization method for one-dimensional linear unsteady convection-dominated diffusion equations and viscous Burgers’ equation as one of the nonlinear equation is considered. In the... In this paper, a nearly analytic discretization method for one-dimensional linear unsteady convection-dominated diffusion equations and viscous Burgers’ equation as one of the nonlinear equation is considered. In the case of linear equations, we find the local truncation error of the scheme is O(τ 2 + h4) and consider the stability analysis of the method on the basis of the classical von Neumann’s theory. In addition, the nearly analytic discretization method for the one-dimensional viscous Burgers’ equation is also constructed. The numerical experiments are performed for several benchmark problems presented in some literatures to illustrate the theoretical results. Theoretical and numerical results show that our method is to be higher accurate and nonoscillatory and might be helpful particularly in computations for the unsteady convection-dominated diffusion problems. 展开更多
关键词 convection-dominated diffusion equation NEARLY ANALYTIC DISCRETIZATION method analysis of the stability
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Fekete-Szego Inequality for a Subclass of Bi-univalent Functions Associated with Hohlov Operator and Quasi-subordination 预览
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作者 Guo Dong Tang Huo +1 位作者 Ao En Xiong Liang-peng 《数学研究通讯:英文版》 CSCD 2019年第3期235-246,共12页
In this paper, we introduce a new subclass of bi-univalent functions defined by quasi-subordination and Hohlov operator and obtain the coefficient estimates and Fekete-Szego inequality for function in this new subclas... In this paper, we introduce a new subclass of bi-univalent functions defined by quasi-subordination and Hohlov operator and obtain the coefficient estimates and Fekete-Szego inequality for function in this new subclass. The results presented in this paper improve or generalize the recent works of other authors. 展开更多
关键词 analytic FUNCTION UNIVALENT FUNCTION bi-univalent FUNCTION coefficient estimate FEKETE-SZEGO INEQUALITY Hohlov operator quasi-subordination
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关于工业三氯化磷中游离磷分析方法的研究 预览
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作者 龚兆鸿 《广州化工》 CAS 2019年第6期80-82,共3页
HG/T2970-2009《工业用三氯化磷》规定了游离磷的分析方法中,不同型号乳化剂之间的乳化性能和颜色差异较大,每次试验都需要做标准溶液工作曲线。以无水甲醇代替乳化剂,同样可以使析出的银均匀分散在苯-甲醇-水体系中,在520nm波长下比色... HG/T2970-2009《工业用三氯化磷》规定了游离磷的分析方法中,不同型号乳化剂之间的乳化性能和颜色差异较大,每次试验都需要做标准溶液工作曲线。以无水甲醇代替乳化剂,同样可以使析出的银均匀分散在苯-甲醇-水体系中,在520nm波长下比色测定游离磷的含量。此方法所用甲醇为实验室常用试剂,空白值较小,更利于测定低含量的游离磷。 展开更多
关键词 三氯化磷 游离磷 分析 研究
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Assessing Probabilities of Unique Events: A New Approach 预览
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作者 Warren Richard Hughes 《中国经济评论:英文版》 2019年第1期43-46,共4页
Decision-makers in unique or one-off situations may have difficulties in framing the probabilities of possible events that are required in modern decision-making. This paper illustrates a new approach to probability d... Decision-makers in unique or one-off situations may have difficulties in framing the probabilities of possible events that are required in modern decision-making. This paper illustrates a new approach to probability determination based on pairwise primary judgments on the relative likelihoods of the possible events. Related “news” on the situation can also be used to update these prior probabilities using Bayesian Revision. Illustrative calculations outline the entire process through to determination of posterior probabilities following a “news” event. 展开更多
关键词 Lehman failure probabilities odds ANALYTIC HIERARCHY Process (AHP) BAYESIAN REVISION
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Local Well-posedness for Linearized Degenerate MHD Boundary Layer Equations in Analytic Setting
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作者 Ya Jun LI Wen Dong WANG 《数学学报:英文版》 SCIE CSCD 2019年第8期1402-1418,共17页
In this note we derive MHD boundary layer equations according to viscosity and resistivity coefficients. Especially, when these viscosity and resistivity coefficients are of different orders, it leads to degenerate MH... In this note we derive MHD boundary layer equations according to viscosity and resistivity coefficients. Especially, when these viscosity and resistivity coefficients are of different orders, it leads to degenerate MHD boundary layer equations. We prove these degenerate boundary layers are stable around a steady solution. 展开更多
关键词 MHD EQUATIONS DEGENERATE boundary layer EQUATIONS local WELL-POSEDNESS ANALYTIC SPACES
Water-conserving mining influencing factors identification and weight determination in northwest China 预览
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作者 Limin Fan Liqiang Ma +2 位作者 Yihe Yu Shuokang Wang Yujun Xu 《国际煤炭科学技术学报:英文版》 2019年第1期95-101,共7页
Water-conserving mining is an effective way to alleviate the contradiction between fragile ecological environment and high-intensity coal mining in the arid and semi-arid region of northwest China. It needs to conside... Water-conserving mining is an effective way to alleviate the contradiction between fragile ecological environment and high-intensity coal mining in the arid and semi-arid region of northwest China. It needs to consider the engineering and geological conditions, hydrogeological conditions and mining methods of coal seams. From the three aspects, this paper systematically analyzes the influencing factors and establishes an identification model with multi-level structures. The model includes three primary factors (including the engineering and geological conditions, hydrogeological conditions and mining methods), nine secondary factors (including overlying strata thickness, aquiclude, mining parameters and etc.), sixteen third-tier factors (including the faults, aquiclude thickness and effective mining height and etc.) and twelve fourth-tier factors (including the fault throw exp on ent, aquiclude permeability and coal pillar sizes and etc.). On the basis, the analytic hierarchy process is used to build the judgment matrix and obtain the weight of each influencing factor. The results indicate that the overlying strata thickness, aquiclude and effective mining height are the most import a nt factors among the primary factors of engineering and geological conditions, hydrogeological conditions and mining methods, respectively. The research results could provide theoretical references for the water-conserving mining of coal resources in northwest China. 展开更多
关键词 Water-conserving MINING In FLUE ncing factors Analytic hierarchy process JUDGMENT matrix Weight
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Theoretical analytic model for RESURF AlGaN/GaN HEMTs
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作者 吴浩 段宝兴 +1 位作者 杨珞云 杨银堂 《中国物理B:英文版》 SCIE EI CAS CSCD 2019年第2期395-399,共5页
In this paper, we propose a two-dimensional(2D) analytic model for the channel potential and electric field distribution of the RESURF AlGaN/GaN high electron mobility transistors(HEMTs). The model is constructed by t... In this paper, we propose a two-dimensional(2D) analytic model for the channel potential and electric field distribution of the RESURF AlGaN/GaN high electron mobility transistors(HEMTs). The model is constructed by two-dimensional Poisson’s equation with appropriate boundary conditions. In the RESURF AlGaN/GaN HEMTs, we utilize the RESURF effect generated by doped negative charge in the AlGaN layer and introduce new electric field peaks in the device channels,thus, homogenizing the distribution of electric field in channel and improving the breakdown voltage of the device. In order to reveal the influence of doped negative charge on the electric field distribution, we demonstrate in detail the influences of the charge doping density and doping position on the potential and electric field distribution of the RESURF AlGaN/GaN HEMTs with double low density drain(LDD). The validity of the model is verified by comparing the results obtained from the analytical model with the simulation results from the ISE software. This analysis method gives a physical insight into the mechanism of the AlGaN/GaN HEMTs and provides reference to modeling other AlGaN/GaN HEMTs device. 展开更多
关键词 RESURF ALGAN/GAN HEMTS two-dimensional ANALYTIC model potential DISTRIBUTION electric field DISTRIBUTION
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