The rate of decrease of constants in Jackson type inequalities in dependence of the order of the continuity modulus

被引：1

作者：

Vinogradov O.L. ^{[1
]}

Zhuk V.V. ^{[1
]}

机构：

[1] St. Petersburg State University, St. Petersburg

来源：

Journal of Mathematical Sciences | 2011年 / 178卷 / 2期

关键词：

Approximation Method; Linear Approximation; Type Inequality; Arbitrary Order; Mation Method;

D O I：

10.1007/s10958-011-0532-2

中图分类号：

学科分类号：

摘要：

Jackson type inequalities for moduli of continuity of arbitrary order are established with the use of linear approximation methods. The constants are smaller than known previously. The results hold in different spaces of periodic and nonperiodic functions. Bibliography: 19 titles. © 2011 Springer Science+Business Media, Inc.

引用

页码：132 / 143

页数：11

共 49 条

[11] Exact constants in Jackson-type inequalities and exact values of widths
Vakarchuk, SB
MATHEMATICAL NOTES, 2005, 78 (5-6) : 735 - 739
[12] Temperature dependence of bulk modulus and second order elastic constants of minerals
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Gupta, B. R. K.
HIGH TEMPERATURES-HIGH PRESSURES, 2008, 37 (04) : 335 - 359
[13] Temperature dependence of bulk modulus and second-order elastic constants
Singh, PP
Kumar, M
PHYSICA B-CONDENSED MATTER, 2004, 344 (1-4) : 41 - 51
[14] Jackson Stechkin type inequalities with generalized moduli of continuity and widths of some classes of functions
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TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2015, 21 (04): : 292 - 308
[15] Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of (ψ, β)-Differentiable Functions in L2. III
S. B. Vakarchuk
Ukrainian Mathematical Journal, 2017, 68 : 1495 - 1518
[16] Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of (ψ, β)-Differentiable Functions in L2. II
Vakarchuk, S. B.
UKRAINIAN MATHEMATICAL JOURNAL, 2017, 68 (08) : 1165 - 1183
[17] Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of (ψ, β)-Differentiable Functions in L2. III
Vakarchuk, S. B.
UKRAINIAN MATHEMATICAL JOURNAL, 2017, 68 (10) : 1495 - 1518
[18] Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of (ψ, β)-Differentiable Functions in L2. II
S. B. Vakarchuk
Ukrainian Mathematical Journal, 2017, 68 : 1165 - 1183
[19] Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of (ψ, β)-Differentiable Functions in L2. I
S. B. Vakarchuk
Ukrainian Mathematical Journal, 2016, 68 : 823 - 848
[20] Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of (ψ, β)-Differentiable Functions in L 2. I
Vakarchuk, S. B.
UKRAINIAN MATHEMATICAL JOURNAL, 2016, 68 (06) : 823 - 848

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