Lower estimates of the widths of classes of functions defined by a modulus of continuity

被引：1

作者：

Shevaldin, VT

机构：

来源：

RUSSIAN ACADEMY OF SCIENCES IZVESTIYA MATHEMATICS | 1995年 / 45卷 / 02期

关键词：

D O I：

10.1070/IM1995v045n02ABEH001648

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For kernels K satisfying the condition B-2m introduced by the author, lower bounds are found for the Kolmogorov widths of classes of convolutions K*H-omega, omega convex, in the uniform metric. In a number of cases these bounds are sharp.

引用

页码：399 / 415

页数：17

共 50 条

[31] Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes.
Wang, Heping
Wu, Zhaoyang
JOURNAL OF FUNCTION SPACES, 2014, 2014
[32] Nonlinear Widths of Classes of Smooth Functions Defined on the Unit Sphere in Rd
Romanyuk, V. S.
MATHEMATICAL NOTES, 2009, 85 (1-2) : 136 - 141
[33] Estimates for a uniform modulus of continuity of functions from symmetric spaces
Berezhnoi, EI
IZVESTIYA MATHEMATICS, 1996, 60 (02) : 233 - 250
[34] Nonlinear widths of classes of smooth functions defined on the unit sphere in ℝd
V. S. Romanyuk
Mathematical Notes, 2009, 85 : 136 - 141
[35] On extremal problems on classes of functions defined by integral moduli of continuity
A. A. Ligun
E. V. Chernaya
Ukrainian Mathematical Journal, 1997, 49 (11) : 1682 - 1687
[36] Estimates of Functions, Orthogonal to Piecewise Constant Functions, in Terms of the Second Modulus of Continuity
Ikhsanov L.N.
Journal of Mathematical Sciences, 2018, 234 (3) : 330 - 337
[37] Upper and Lower Estimates for the Modulus of Bounded Holomorphic Functions
Galatia Cleanthous
Athanasios G. Georgiadis
Complex Analysis and Operator Theory, 2016, 10 : 205 - 212
[38] Upper and Lower Estimates for the Modulus of Bounded Holomorphic Functions
Cleanthous, Galatia
Georgiadis, Athanasios G.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2016, 10 (01) : 205 - 212
[39] Bernstein Widths of Some Classes of Functions Defined by a Self-Adjoint Operator
Feng, Guo
JOURNAL OF APPLIED MATHEMATICS, 2012,
[40] Estimates of the integral modulus of continuity of functions with rarely changing Fourier coefficients
Telyakovskii, SA
SBORNIK MATHEMATICS, 2002, 193 (9-10) : 1333 - 1347

← 1 2 3 4 5 →