Hadamard and Schwarz Type Theorems and Optimal Recovery in Spaces of Analytic Functions

被引：0

作者：

K. Y. Osipenko

M. I. Stessin

机构：

[1] MATI—Russian State Technological University,Department of Mathematics

[2] University at Albany,Department of Mathematics and Statistics

来源：

Constructive Approximation | 2010年 / 31卷

关键词：

Extremal problems; Optimal recovery; Hardy spaces; 30H05; 30E10; 30D55;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove a general theorem which gives a necessary condition of extremum in the dual optimal recovery problem in terms of inclusion in certain annihilators. Applications of this theorem yield Hadamard and Schwarz type results. We also construct related optimal recovery methods.

引用

页码：37 / 67

页数：30

共 50 条

[1] Hadamard and Schwarz Type Theorems and Optimal Recovery in Spaces of Analytic Functions
Osipenko, K. Y.
Stessin, M. I.
[J]. CONSTRUCTIVE APPROXIMATION, 2010, 31 (01) : 37 - 67
[2] Hadamard type operators on spaces of real analytic functions in several variables
Domanski, Pawel
Langenbruch, Michael
Vogt, Dietmar
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 269 (12) : 3868 - 3913
[3] Hadamard multipliers on spaces of real analytic functions
Domanski, Pawel
Langenbruch, Michael
[J]. ADVANCES IN MATHEMATICS, 2013, 240 : 575 - 612
[4] Hadamard-type theorems for hypersurfaces in hyperbolic spaces
Alias, Luis J.
Kurose, Takashi
Solanes, Gil
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2006, 24 (05) : 492 - 502
[5] Sandwich theorems for analytic univalent functions defined by Hadamard product operator
Atshan, Waggas Galib
Jalawi, Abd Sarah
[J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 : 2285 - 2296
[6] CATEGORY THEOREMS FOR CERTAIN BANACH SPACES OF ANALYTIC FUNCTIONS
ANDERSON, JM
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1971, 249 : 83 - &
[7] Operators of Hadamard type on spaces of smooth functions
Vogt, Dietmar
[J]. MATHEMATISCHE NACHRICHTEN, 2015, 288 (2-3) : 353 - 361
[8] Bohr-type inequalities for bounded analytic functions of Schwarz functions
Hu, Xiaojun
Wang, Qihan
Long, Boyong
[J]. AIMS MATHEMATICS, 2021, 6 (12): : 13608 - 13621
[9] THEOREMS OF PEANO'S TYPE FOR BIVARIATE FUNCTIONS AND OPTIMAL RECOVERY OF LINEAR FUNCTIONALS
N.K. Dicheva (University of Architecture
[J]. Analysis in Theory and Applications, 2001, (03) : 43 - 53
[10] Widths and optimal sampling in spaces of analytic functions
Fisher, SD
[J]. CONSTRUCTIVE APPROXIMATION, 1996, 12 (04) : 463 - 480

← 1 2 3 4 5 →