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>>
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...
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...
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...
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...
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...
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...
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, ...
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 ...