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MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS 预览
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作者 Stanislaw MIGORSKI 曾生达 《数学物理学报:B辑英文版》 SCIE CSCD 2019年第2期461-468,共8页
The goal of the present paper is to investigate an abstract system, called fractional differential variational inequality, which consists of a mixed variational inequality combined with a fractional evolution equation... The goal of the present paper is to investigate an abstract system, called fractional differential variational inequality, which consists of a mixed variational inequality combined with a fractional evolution equation in the framework of Banach spaces. Using discrete approximation approach, an existence theorem of solutions for the inequality is established under some suitable assumptions. 展开更多
关键词 FRACTIONAL differential VARIATIONAL INEQUALITY CO-SEMIGROUP Minty mixed VARIATIONAL INEQUALITY existence MILD solutions
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An Equivalent Form of Strong Lemoine Conjecture and Several Relevant Results
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作者 ZHANG Shaohua 《武汉大学学报:自然科学英文版》 CAS CSCD 2019年第3期229-232,共4页
In this paper, we consider some problems involving Strong Lemoine Conjecture in additive number theory. Based on Dusart’s inequality and Rosser-Schoenfeld’s inequality, we obtain several new results and give an equi... In this paper, we consider some problems involving Strong Lemoine Conjecture in additive number theory. Based on Dusart’s inequality and Rosser-Schoenfeld’s inequality, we obtain several new results and give an equivalent form of Strong Lemoine Conjecture. 展开更多
关键词 Lemoine CONJECTURE Dusart’s INEQUALITY Rosser-Schoenfeld’s INEQUALITY EULER totient FUNCTION primecounting FUNCTION
Volume Difference Inequalities for the Polars of Mixed Complex Projection Bodies 预览
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作者 Han Bo Zhang Yuan-yuan +1 位作者 Wang Wei-dong Rong Xiao-chun 《数学研究通讯:英文版》 CSCD 2019年第2期149-158,共10页
In this paper, based on the notion of mixed complex projection and generalized the recent works of other authors, we obtain some volume difference inequalities containing Brunn-Minkowski type inequality, Minkowski typ... In this paper, based on the notion of mixed complex projection and generalized the recent works of other authors, we obtain some volume difference inequalities containing Brunn-Minkowski type inequality, Minkowski type inequality and Aleksandrov-Fenchel inequality for the polars of mixed complex projection bodies. 展开更多
关键词 mixed complex PROJECTION body polar VOLUME DIFFERENCE Brunn-Minkowski TYPE INEQUALITY MINKOWSKI TYPE INEQUALITY
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再谈Van Der Corput不等式单参数推广的改进
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作者 韦新 《数学的实践与认识》 北大核心 2019年第9期278-285,共8页
研究Van Der Corput不等式的一类单参数推广,提出了一个新的上界模型,建立了Van Der Corput不等式更优的推广形式.
关键词 不等式 VAN Der Corput不等式 改进 最大值单调性定理
居民休闲消费不平等研究——以北京市为例 预览
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作者 王琪延 韦佳佳 《经济理论与经济管理》 CSSCI 北大核心 2019年第5期103-112,共10页
休闲消费蕴含休闲时间消费和休闲消费支出。本文以北京市为例,探讨居民休闲消费不平等问题。研究发现,休闲时间消费和休闲消费支出不平等现象日趋显著。本文通过K-means均值聚类刻画了休闲时间消费差异。构建回归模型发现,休闲时间和收... 休闲消费蕴含休闲时间消费和休闲消费支出。本文以北京市为例,探讨居民休闲消费不平等问题。研究发现,休闲时间消费和休闲消费支出不平等现象日趋显著。本文通过K-means均值聚类刻画了休闲时间消费差异。构建回归模型发现,休闲时间和收入是影响休闲消费支出的主要因素,随着年份的推移,休闲时间逐渐成为影响“有钱无闲”群体休闲消费支出的主要因素,收入的拉动作用逐渐弱化。对于“有闲无钱”群体,虽然增加该群体收入能有效提高其休闲消费水平,但收入与年份交叉项并不显著。 展开更多
关键词 休闲时间消费 休闲消费支出 休闲消费 收入 不平等
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基于Tri-Gamma函数的Gamma函数的一个渐近公式 预览
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作者 田丹 王连堂 《宁夏大学学报:自然科学版》 CAS 2019年第2期106-110,共5页
首先,建立一个基于Tri-Gamma函数的Gamma函数的一个渐近公式.然后,得到其最佳常数、渐近展式和关于Gamma函数的双向不等式.
关键词 GAMMA函数 Tri-Gamma函数 收敛速度 渐近展式 不等式
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A Differential Harnack Inequality for the Newell-Whitehead-Segel Equation 预览
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作者 Derek Booth Jack Burkart +4 位作者 Xiaodong Cao Max Hallgren Zachary Munro Jason Snyder Tom Stone 《分析理论与应用:英文刊》 CSCD 2019年第2期192-204,共13页
This paper will develop a Li-Yau-Hamilton type differential Harnack estimate for positive solutions to the Newell-Whitehead-Segel equation on R^n.We then use our LYH-differential Harnack inequality to prove several pr... This paper will develop a Li-Yau-Hamilton type differential Harnack estimate for positive solutions to the Newell-Whitehead-Segel equation on R^n.We then use our LYH-differential Harnack inequality to prove several properties about positive solutions to the equation,including deriving a classical Harnack inequality and characterizing standing solutions and traveling wave solutions. 展开更多
关键词 Newell-Whitehead-Segel EQUATION Harnack ESTIMATE Harnack INEQUALITY WAVE solutions.
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An Inexact Modified Newton Method for Viscc and Application in Grasping Force
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作者 Shuang CHEN Li-ping PANG +1 位作者 Dan LI Jin-he WANG 《应用数学学报:英文版》 SCIE CSCD 2019年第3期591-606,共16页
For the variational inequality with symmetric cone constraints problem,we consider using the inexact modified Newton method to efficiently solve it.It provides a unified framework for dealing with the variational ineq... For the variational inequality with symmetric cone constraints problem,we consider using the inexact modified Newton method to efficiently solve it.It provides a unified framework for dealing with the variational inequality with nonlinear constraints,variational inequality with the second-order cone constraints,and the variational inequality with semi-definite cone constraints.We show that each stationary point of the unconstrained minimization reformulation based on the Fischer-Burmeister merit function is a solution to the problem.It is proved that the proposed algorithm is globally convergent under suitable conditions.The computation results show that the feasibility and efficiency of our algorithm. 展开更多
关键词 VARIATIONAL INEQUALITY symmetric cone INEXACT modified NEWTON method Fischer-Burmeister function
Gradient Estimates and Harnack Inequalities for Positive Solutions of ■u =■υ/■t on Self-shrinkers
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作者 Ye Cheng ZHU Qing CHEN 《数学学报:英文版》 SCIE CSCD 2019年第7期1217-1226,共10页
In this paper, we investigate the positive solutions of ■u =■υ/■t on self-shrinkers, then get some gradient estimates and Harnack inequalities for the positive solutions.
关键词 Harnack INEQUALITY self^shrinker ∞-Bakry-Emery RICCI TENSOR gradient ESTIMATE
正定Hermite矩阵迹的不等式的几点注记 预览
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作者 宋园 《安庆师范大学学报:自然科学版》 2019年第2期40-41,51共3页
文献[1]中给出了有关正定Hermite矩阵迹的不等式的几个定理,本文通过分析并结合例子说明定理1的证明过程存在问题,进一步通过反例说明定理1是不成立的,同时指出文献中其他几个定理也存在同样的问题。针对证明过程出现的问题,给出矩阵迹... 文献[1]中给出了有关正定Hermite矩阵迹的不等式的几个定理,本文通过分析并结合例子说明定理1的证明过程存在问题,进一步通过反例说明定理1是不成立的,同时指出文献中其他几个定理也存在同样的问题。针对证明过程出现的问题,给出矩阵迹的不等式证明中的几点注记。 展开更多
关键词 不等式 正定HERMITE矩阵
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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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Chain Inequality Violation with Quantum Weak Measurement Technology
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作者 徐正茂 李宏伟 《理论物理通讯:英文版》 SCIE CAS CSCD 2019年第4期393-396,共4页
Bell inequality is an important resource in the quantum information theory, which can be applied to guarantee security of the device independent quantum information protocols. By utilizing the quantum weak measurement... Bell inequality is an important resource in the quantum information theory, which can be applied to guarantee security of the device independent quantum information protocols. By utilizing the quantum weak measurement technology, we propose the Chain inequality violation with three parties, and the analysis result demonstrates that double Chain inequality violation can be observed in the case of Alice and Bob have two different measurement bases.Since the weak measurement model can be assumed to be an eavesdropping model, our analysis model may be applied to analyze security of the device independent quantum information protocols. 展开更多
关键词 CHAIN INEQUALITY WEAK MEASUREMENT
Halanay-type inequality with delayed impulses and its applications
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作者 Yaqi WANG Jianquan LU Yijun LOU 《中国科学:信息科学(英文版)》 SCIE EI CSCD 2019年第9期158-167,共10页
In this study, some properties of a novel Halanay-type inequality that simultaneously contains impulses and delayed impulses are investigated. Two concepts with respect to average impulsive gain are proposed to descri... In this study, some properties of a novel Halanay-type inequality that simultaneously contains impulses and delayed impulses are investigated. Two concepts with respect to average impulsive gain are proposed to describe hybrid impulsive strength and hybrid delayed impulsive strength. Then, using the obtained results, two stability criteria are derived for the linear systems with impulses and delayed impulses.It is found that the stability of impulsive systems is robust with respect to delayed impulses of which the magnitude strength is relatively small. Whereas, if the impulse strength is small, the time-delayed impulses can also promote the stability of unstable systems. Two numerical examples are employed to illustrate the efficiency of our results. 展开更多
关键词 Halanay-type INEQUALITY hybrid IMPULSES AVERAGE IMPULSIVE GAIN DELAYED IMPULSES linear IMPULSIVE systems
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
有关不完全Gamma函数的渐近展式及不等式 预览
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作者 赵婉莹 《东北师大学报:自然科学版》 CAS 北大核心 2019年第3期30-33,共4页
建立了一个Ip(x)的渐近展开,基于这个渐近展开,得到了一个关于Ip(x)的新的不等式.
关键词 不完全Gamma函数 渐近展开 不等式
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全球主要发达国家宏观收入分配格局特征、成因及政策启示 预览
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作者 年猛 《当代经济管理》 CSSCI 北大核心 2019年第3期1-10,共10页
演收入分配关系到经济持续发展和社会稳定,一直以来都得到各国政府和社会公众的高度关注。实现收入分配公正且合理是现代政府治国理政的重要目标。文章通过国际对比,从宏观层面分析世界主要发达国家收入分配格局现状、趋势及原因,为我... 演收入分配关系到经济持续发展和社会稳定,一直以来都得到各国政府和社会公众的高度关注。实现收入分配公正且合理是现代政府治国理政的重要目标。文章通过国际对比,从宏观层面分析世界主要发达国家收入分配格局现状、趋势及原因,为我国宏观收入分配格局的优化、调整,提供有益的借鉴和参考。 展开更多
关键词 宏观收入分配格局 发达国家 不平等
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Stability Analysis of Systems With Time-varying Delay via a Novel Lyapunov Functional 预览
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作者 Yun Chen Gang Chen 《自动化学报:英文版》 CSCD 2019年第4期1068-1073,共6页
This paper investigates the stability problem for time-varying delay systems.To obtain a larger delay bound,this paper uses the second-order canonical Bessel-Legendre(BL)inequality.Secondly,using four couples of integ... This paper investigates the stability problem for time-varying delay systems.To obtain a larger delay bound,this paper uses the second-order canonical Bessel-Legendre(BL)inequality.Secondly,using four couples of integral terms in the augmented Lyapunov-Krasovskii function(LKF)to enhance the relationship between integral functionals and other vectors.Furthermore,unlike the construction of the traditional LKF,a novel augmented LKF is constructed with two new delayproduct-type terms,which adds more state information and leads to less conservative results.Finally,two numerical examples are provided to demonstrate the effectiveness and the significant improvement of the proposed stability criteria. 展开更多
关键词 Integral INEQUALITY LYAPUNOV THEOREM stability TIME-DELAY SYSTEMS
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A FOUR-WEIGHT WEAK TYPE MAXIMAL INEQUALITY FOR MARTINGALES 预览
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作者 任颜波 《数学物理学报:B辑英文版》 SCIE CSCD 2019年第2期413-419,共7页
In this article, some necessary and sufficient conditions are shown in order that weighted inequality of the form ∫{f^*>λ}Φ1(λw1)w2dP≤C∫Ω^Φ2(C|f∞|w3)w4dP holds a.e. for uniformly integrable martingales f =... In this article, some necessary and sufficient conditions are shown in order that weighted inequality of the form ∫{f^*>λ}Φ1(λw1)w2dP≤C∫Ω^Φ2(C|f∞|w3)w4dP holds a.e. for uniformly integrable martingales f =(fn)n≥0 with some constant C > 0,where Φ1,Φ2 are Young functions, wi(i = 1,2,3, 4) are weights, f^*=sup n≥0 |fn| and f∞=lim n→∞ fn a.e. As an application, two-weight weak type maximal inequalities of martingales are considered, and particularly a new equivalence condition is presented. 展开更多
关键词 WEIGHT WEAK TYPE inequality MARTINGALE MAXIMAL operator Young function
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数学分析中几种常见的不等式证明方法 预览
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作者 杨涛 《四川工商学院学术新视野》 2019年第1期29-33,41共6页
不等式证明是数学分析中经常遇到且较难理解和掌握的证明问题之一。文章主要对不等式证明的几种常见方法进行梳理,以培养学生不等式证明的发散思维。
关键词 数学分析 不等式 证明方法
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Hermite-Hadamard Type Inequalities for Operator h-preinvex Functions 预览
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作者 Lian Tie-yan Tang Wei Ji You-qing 《数学研究通讯:英文版》 CSCD 2019年第2期180-192,共13页
Operator h-preinvex functions are introduced and a refinement of HermiteHadamard type inequalities for such functions is established. Results proved in this paper are more general and some known results are special ca... Operator h-preinvex functions are introduced and a refinement of HermiteHadamard type inequalities for such functions is established. Results proved in this paper are more general and some known results are special cases. 展开更多
关键词 Hermite-Hadamard's integral INEQUALITY OPERATOR h-preinvex FUNCTION OPERATOR beta-preinvex FUNCTION
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