Jackson-Stechkin Type Inequalities between the Best Polynomial Approximations and Generalized Moduli of Continuity in the Weighted Bergman Space B2,γ

被引：0

作者：

Langarshoev, M. R. ^{[1
]}

机构：

[1] Minist Emergency Situat Russia, Acad Civil Def, Chimki 141435, Moscow Oblast, Russia

来源：

MATHEMATICAL NOTES | 2024年 / 116卷 / 3-4期

关键词：

best polynomial approximation; generalized modulus of continuity; extremal characteristic; widths; WIDTHS;

D O I：

10.1134/S0001434624090086

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain sharp Jackson-Stechkin type inequalities for a generalized higher-order modulus of continuity and calculate the exact values of some known n-widths of classes of analytic functions defined by using this characteristic in the weighted Bergman space.

引用

页码：485 / 497

页数：13

共 19 条

[1] Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space L 2
Vakarchuk, S. B.
Zabutnaya, V. I.
MATHEMATICAL NOTES, 2012, 92 (3-4) : 458 - 472
[2] Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space L2
S. B. Vakarchuk
V. I. Zabutnaya
Mathematical Notes, 2012, 92 : 458 - 472
[3] Analysis of a theorem on the Jackson-Stechkin inequality in the Bergman space B-2
Saidusaynov, Mukim Saidusainovich
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2018, 24 (04): : 217 - 224
[4] Jackson Stechkin type inequalities with generalized moduli of continuity and widths of some classes of functions
Shabozov, M. Sh
Tukhliev, K.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2015, 21 (04): : 292 - 308
[5] Inequalities between the Best Approximations and Homogenizations of Moduli of Continuity in the Space L2
Shabozov, M. Sh
Yusupov, G. A.
DOKLADY MATHEMATICS, 2010, 82 (03) : 892 - 895
[6] SOME INEQUALITIES BETWEEN BEST APPROXIMATIONS AND MODULI OF CONTINUITY IN AN L2 SPACE
LIGUN, AA
MATHEMATICAL NOTES, 1978, 24 (5-6) : 917 - 921
[7] Inequalities between the best approximations and homogenizations of moduli of continuity in the space L2
M. Sh. Shabozov
G. A. Yusupov
Doklady Mathematics, 2010, 82 : 892 - 895
[8] SHARP JACKSON-STECHKIN TYPE INEQUALITIES IN HARDY SPACE H2 AND WIDTHS OF FUNCTIONAL CLASSES
Shabozov, M. Sh.
Malakbozov, Z. Sh.
UFA MATHEMATICAL JOURNAL, 2023, 15 (02): : 74 - 84
[9] Jackson–Stechkin Type Inequalities between the Best Polynomial Approximations and Generalized Moduli of Continuity in the Weighted Bergman Space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathscr{B}_{2,\gamma}$$\end{document}
M. R. Langarshoev
Mathematical Notes, 2024, 116 (3) : 485 - 497
[10] Sharp inequalities between best approximations and moduli of continuity in the Hardy space Hp with 1 ≤ p ≤ 2
Shabozov, MS
Gulkhodzha, U
DOKLADY MATHEMATICS, 2005, 72 (01) : 587 - 590

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