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作品数:64被引量:33H指数:3
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相关作者:戴华何金苏许贵桥杜英芳南朝勋更多>>
相关机构:南京航空航天大学东南大学安徽师范大学天津师范大学更多>>
相关期刊:《Applied Mathematics》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《The Journal of China Universities of Posts and Telecommunications》更多>>
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Generalized Logan’s Problem for Entire Functions of Exponential Type and Optimal Argument in Jackson’s Inequality in L2(R3)
《Acta Mathematica Sinica,English Series》2018年第10期1563-1577,共15页Valerii IVANOV Alexey IVANOV 
Supported by the Russian Foundation for Basic Research(Grant No.16-01-00308)
We study Jackson's inequality between the best approximation of a function f∈ L2(R^3) by entire functions of exponential spherical type and its generalized modulus of continuity. We prove Jackson's inequality wit...
关键词:Best approximation generalized modulus of continuity Jackson's inequality optimal argument Logan's problem quadrature formula 
Dunkl's Theory and Best Approximation by Entire Functions of Exponential Type in L_2-metric with Power Weight
《Acta Mathematica Sinica,English Series》2014年第10期1748-1762,共15页Yong Ping LIU Chun Yuan SONG 
Supported by National Natural Science Foundation of China(Grant No.11071019);the research Fund for the Doctoral Program of Higher Education and Beijing Natural Science Foundation(Grant No.1102011)
In this paper, we study the sharp Jackson inequality for the best approximation of f ∈L2,k(Rd) by a subspace Ek2(σ) (SEk2(σ)), which is a subspace of entire functions of exponential type (spherical exponen...
关键词:Reflection group Dunkl transform Bessel function Jackson inequality continuous modulus 
Monotonicity and Best Approximation in Banach Lattices被引量:3
《Acta Mathematica Sinica,English Series》2009年第5期785-794,共10页Shu Tao CHEN Xin HE H. HUDZIK 
Supported by National Natural Science Foundation of China, Grant (10471032)
Hudzik and Kurc discussed some best approximation problems in Banach lattices by means of monotonicities. This paper deals with more general best approximation problems in Banach lattices. Existence, uniqueness, stabi...
关键词:Banach lattice uniform monotonicity strict monotonicity upper (lower) locally uniform monotonicity best approximation 
Strongly Convergent Approximations to Fixed Points of Total Asymptotically Nonexpansive Mappings被引量:1
《Acta Mathematica Sinica,English Series》2008年第6期1005-1022,共18页Yakov ALBER Rafa ESPíNOLA Pepa LORENZO 
the Ministry of Science and Technology of Spain,Grant BFM 2000-0344-CO2-01;La Junta de Antalucia Project FQM-127
In this work we prove a new strong convergence result of the regularized successive approximation method given by yn+1 = qnz0 + (1 - qn)T^nyn, n = 1, 2,…,where lim n→∞ qn = 0 and ∞∑n=1 qn=∞ for T a total asy...
关键词:asymptotically nonexpansive mappings best approximation fixed point duality map iteration schemes 
Adaptive Algorithms of Nonlinear Approximation with Finite Terms被引量:7
《Acta Mathematica Sinica,English Series》2007年第9期1663-1672,共10页Wen Bin WEI Yue Sheng XU Pei Xin YE 
the foundation under the program of"One Hundred Outstanding Young Chinese Scientists"of the Chinese Academy of Sciences;the Graduate Innovation Foundation of the Chinese Academy of Sciences
This paper deals with realizable adaptive algorithms of the nonlinear approximation with finite terms based on wavelets. We present a concrete algorithm by which we may find the required index set Am for the greedy al...
关键词:nonlinear approximation DICTIONARY Haar system adaptive algorithm near best approximation 
On Basic Constraint Qualifications for Infinite System of Convex Inequalities in Banach Spaces
《Acta Mathematica Sinica,English Series》2007年第1期65-76,共12页Xin Tao YE Chong LI 
the National Natural Science Foundation of China(Grant No 10271025);Program for New Century Excellent Talents in University
The BCQ and the Abadie CQ for infinite systems of convex inequalities in Banach spaces are characterized in terms of the upper semi-continuity of the convex cones generated by the subdifferentials of active convex fun...
关键词:system of convex inequalities basic constraint qualification Abadie constraint qualification best approximation 
Coincidence Theorems with Applications to Minimax Inequalities,Section Theorem,Best Approximation and Multiobjective Games in Topological Spaces被引量:2
《Acta Mathematica Sinica,English Series》2006年第6期1809-1818,共10页Lei DENG Ming Ge YANG 
Supported by National Natural Science Foundation of China(10471113);Natural Science Foundation Project of CQ CSTC(2005BB2097)
Some new coincidence theorems involving admissible set-valued mappings are proved in general noncompact topological spaces. As applications, some new minimax inequalities, section theorem, best approximation theorem, ...
关键词:admissible set-valued mapping generalized R-KKM mapping transfer compactly openvalued compactly local intersection property multiobjective game 
On Best Approximations from RS-sets in Complex Banach Spaces被引量:2
《Acta Mathematica Sinica,English Series》2005年第1期31-38,共8页ChongLI 
Supported in part by the National Natural Science Foundation of China(Grant No.10271025) 41A29,41A50
The concept of an RS–set in a complex Banach space is introduced and theproblem of best approximation from an RS–set in a complex space is investigated. Results consistingof characterizations, uniqueness and strong ...
关键词:Complex RS–set Best approximation UNIQUENESS Strong uniqueness 
The Equivalence Relations between the Best Approximation and Linear Operators Approximation in a Besov Space被引量:3
《Acta Mathematica Sinica,English Series》1997年第4期527-536,共10页Li Song Department of Applied Mathematics, Zhejiang University, Hangzhou 310027, China 
The project is supported by NSFC
In this paper, we characterize Besov type space introduced by the best approximation, best approximating elements and a kind of linear operators.
关键词:Space of Besov type the best approximation Best approximating elements Linear operators 
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