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INEQUALITY: 作品数：1088被引量：1496H指数：17; 导出分析报告; 相关领域：理学更多>>; 相关作者：徐利治高明哲赵长健刘证王杰更多>>; 相关机构：大连理工大学吉首大学湖南大学北京师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金广东省自然科学基金更多>>

Three Series Theorem for Independent Random Variables under Sub-linear Expectations with Applications被引量：7: 《Acta Mathematica Sinica,English Series》2019年第2期172-184,共13页Jia Pan XU Li Xin ZHANG; Supported by the NSF of China(Grant No.11731012);the 973 Program(Grant No.2015CB352302);Zhejiang Provincial Natural Science Foundation(Grant No.LY17A010016);the Fundamental Research Funds for the Central Universities; In this paper, motived by the notion of independent and identically distributed random variables under the sub-linear expectation initiated by Peng, we establish a three series theorem of independent random variables ...; 关键词：Sub-linear EXPECTATION capacity Rosenthal's INEQUALITY Kolmogorov's three series theorem Marcinkiewicz's strong law of large numbers

Experimental simulation of violation of the Wright inequality by coherent light: 《Chinese Physics B》2017年第10期49-53,共5页朱锋张巍黄翊东; supported by the National Key Basic Research Program of China(Grant Nos.2011CBA00303 and 2013CB328700);Basic Research Foundation of Tsinghua National Laboratory for Information Science and Technology(TNList); In this paper, we investigate the simulation of violation of the Wright inequality by the classical optical experiment theoretically and experimentally. The feasibility of the simulation is demonstrated by theoretical...; 关键词：quantum optics POLARIZATION quantum information and processing

Kloosterman sums with multiplicative coefficients被引量：1: 《Science China Mathematics》2016年第4期653-660,共8页GONG Ke JIA ChaoHua; supported by National Natural Science Foundation of China(Grant Nos.11201117 and 11126150),supported by National Natural Science Foundation of China(Grant Nos.11371344 and 11321101);National Key Basic Research Program of China(Grant No.2013CB834202); Let f(n)be a multiplicative function satisfying |f(n)|≤1,q(≤N^2)be a positive integer and a be an integer with(a,q)= 1.In this paper,we shall prove that ∑n≤N(n,q)=1f(n)e(an/q)■(1/2)(τ(q)/q)N loglog(6N)+ q^(1/4+...; 关键词：Kloosterman sum multiplicative function finite version of Vinogradov＇s inequality

A novel biased proportional navigation guidance law for close approach phase被引量：7: 《Chinese Journal of Aeronautics》2016年第1期228-237,共10页Su Wenshan Yao Dangnai Li Kebo Chen Lei; co-supported by the National Natural Science Foundation of China(No.11372345);the National Basic Research Program of China(No.2013CB733100); A novel biased proportional navigation guidance （BPNG） law is proposed for the close approach phase, which aims to make the spacecraft rendezvous with the target in specific relative range and direction. Firstly, in...; 关键词：Biased proportional naviga- tion guidance Collision risk OPTIMIZATION Schwartz inequality Zero effort miss vector

On Hardy-type integral inequalities: 《Applied Mathematics and Mechanics(English Edition)》2013年第10期1297-1304,共8页冷拓冯勇; Project supported by the National Basic Research Program of China(No.2011CB302402);theNational Natural Science Foundation of China(No.11171053); The Hardy integral inequality is one of the most important inequalities in analysis. The present paper establishes some new Copson-Pachpatte （C-P） type inequalities, which are the generalizations of the Hardy integr...; 关键词：Hardy inequality Holder inequality Copson inequality Izumi inequality Pachpatte inequality

PROPERTIES OF STORAGE FUNCTIONS AND APPLICATIONS TO NONLINEAR STOCHASTIC H∞ CONTROL: 《Journal of Systems Science & Complexity》2011年第5期850-861,共12页Qixia ZHANG Weihai ZHANG; This research is supported by the National Natural Science Foundation of China under Grant Nos. 10921101 and 60874032, the National Basic Research Program of China （973 Program） under Grant No. 2007CB814904, the Key Project of Natural Science Foundation of Shandong Province under Grant No. ZR2009GZ001, and the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No. 20103718110006.; This paper discusses the properties of the storage functions for a class of nonlinear stochastic systems. Some necessary and sufficient conditions for a function to be a storage function are derived. As applications, ...; 关键词：Halmilton-Jacobi inequality H∞ control partial differential equation storage function viscosity solution.

Narrowband Biphoton Generation with Four-Wave Mixing in a Far-Detuning Three-Level System: 《Chinese Physics Letters》2011年第7期168-171,共4页CHEN Peng ZHOU Shu-Yu XU Zhen DUAN Ya-Fan CUI Guo-Dong HONG Tao WANG Yu-Zhu; by the National Natural Science Foundation of China under Grant No 10804115;the National Basic Research Program of China under Grant Nos 2006CB921202 and 2011CB921504;the Knowledge Innovation Project of Chinese Academy of Sciences;the Shanghai Committee of Science and Technology under Grant No 09DJ1400700.; Non-classical paired photons are generated by a four-wave mixing process in a far-detuning three-level system with cold atoms.A violation of the Cauchy–Schwartz inequality of a factor of 310 is observed.This phenomen...; 关键词：theory photon INEQUALITY

A preconditioner for a kind of coupled FEM-BEM variational inequality被引量：1: 《Science China Mathematics》2010年第11期2811-2830,共20页HU QiYa1 & YU DeHao2 LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China; supported by National Natural Science Foundation of China (GrantNo. 10771178);The Key Project of National Natural Science Foundation of China (Grant No. 10531080);National Basic Research Program of China (Grant No. 2005CB321702);supported by The Key Project of National Natural Science Foundation of China (Grant No. 10531080);National Basic Research Program of China (Grant No. 2005CB321701); In this paper we are concerned with a kind of nonlinear transmission problem with Signorini contact conditions. This problem can be described by a coupled FEM-BEM variational inequality. We first develop a preconditio...; 关键词：Signorini contact FEM-BEM coupling variational INEQUALITY PRECONDITIONING gradient projection PRECONDITIONER condition number

Sharp estimates for Hübner’s upper bound function with applications被引量：3: 《Applied Mathematics(A Journal of Chinese Universities)》2010年第2期227-235,共9页QIU Song-Liang REN Liang-Yu; Supported by National 973 Project of China(2006CB708304);National Natural Science Foundation of China(10771195); New better estimates, which are given in terms of elementary functions, for the function r →（2/π）（1 -r2）κ（r）κ′（r）＋ logr appearing in Hubner＇s sharp upper bound for the Hersch-Pfluger distortion functio...; 关键词：ESTIMATE Hubner＇s inequality Hersch-Pfluger distortion function quasiconformal Schwarz lemma modular equation.

Intrinsic ultracontractivity on Riemannian manifolds with infinite volume measures被引量：1: 《Science China Mathematics》2010年第4期895-904,共10页WANG FengYu 1,2 1 School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China 2 Department of Mathematics,Swansea University,Singleton Park,Swansea SA2 8PP,UK; supported by Science Fund for Creative Research Groups of National Natural Science Foundation of China (No.10121101);National Basic Research Program of China(Grant No.2006CB805901); By establishing the intrinsic super-Poincar'e inequality,some explicit conditions are presented for diffusion semigroups on a non-compact complete Riemannian manifold to be intrinsically ultracontractive.These conditi...; 关键词：INTRINSIC ultracontractivity INTRINSIC super-Poincar’e INEQUALITY RIEMANNIAN manifold diffusion SEMIGROUP

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