On weak convergence of an iteration process with minimal norm in a hilbert space

被引：0

作者：

Khlobystov V.

Kashpur E.

机构：

来源：

Journal of Mathematical Sciences | 2002年 / 109卷 / 4期

关键词：

Hilbert Space; Weak Convergence; Minimal Norm; Interpolation Process; Polynomial Operator;

D O I：

10.1023/A:1014354503640

中图分类号：

学科分类号：

摘要：

We show that in a Hubert space with a measure and a minimal norm on a chosen sequence of nodes, the interpolation process converges to the interpolated polynomial operator. ©2002 Plenum Publishing Corporation.

引用

页码：1791 / 1794

页数：3

共 50 条

[41] Convergence of minimum norm elements of projections and intersections of nested affine spaces in Hilbert space
Schochetman, Irwin E.
Smith, Robert L.
Tsui, Sze-Kai
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (01) : 467 - 482
[42] ON WEAK-CONVERGENCE OF MEASURES GENERATED BY ITERATIVE PROCEDURES IN HILBERT-SPACE
KNOPOV, PS
DOKLADY AKADEMII NAUK SSSR, 1981, 256 (01): : 29 - 32
[43] WEAK AND STRONG CONVERGENCE THEOREMS FOR THE MODIFIED ISHIKAWA ITERATION FOR TWO HYBRID MULTIVALUED MAPPINGS IN HILBERT SPACES
Cholamjiak, Watcharaporn
Chutibutr, Natchaphan
Weerakham, Siwanat
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 33 (03): : 767 - 786
[44] Weak convergence theorem for variational inequality problems with monotone mapping in Hilbert space
Tian, Ming
Jiang, Bing-Nan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[45] Weak convergence theorem for variational inequality problems with monotone mapping in Hilbert space
Ming Tian
Bing-Nan Jiang
Journal of Inequalities and Applications, 2016
[46] STRONG AND Delta-CONVERGENCE OF A FASTER ITERATION PROCESS IN HYPERBOLIC SPACE
Akbulut, Sezgin
Gunduz, Birol
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 30 (03): : 209 - 219
[47] Forcing Strong Convergence of a Mann-Based Iteration for Nonexpansive and Monotone Operators in a Hilbert Space
Lv, Songtao
JOURNAL OF MATHEMATICS, 2022, 2022
[48] UNCONDITIONAL CONVERGENCE OF AN ITERATION PROCESS
HSU, LC
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (06): : A577 - A577
[49] On the norm of idempotent operators in a Hilbert space
Rakocevic, V
AMERICAN MATHEMATICAL MONTHLY, 2000, 107 (08): : 748 - 750
[50] On norm inequalities of operators on Hilbert space
Lin, CS
Ch, YJ
INEQUALITY THEORY AND APPLICATIONS, VOL 2, 2003, : 165 - 173

← 1 2 3 4 5 →