Some Problems in the Theory of Approximation of Functions on Locally Compact Vilenkin Groups

被引：4

作者：

Platonov, Sergey S. ^{[1
]}

机构：

[1] Petrozavodsk State Univ, Inst Math, Lenina Av 33, Petrozavodsk 185910, Russia

来源：

P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2019年 / 11卷 / 02期

关键词：

locally compact Vilenkin groups; approximation of functions; modulus of continuity; zero-dimensional groups; Lipschitz condition; embedding theorems; CONTINUITY;

D O I：

10.1134/S2070046619020067

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some problems in the theory of approximation of complex-valued functions on locally compact Vilenkin groups in the metric of L-p, 1 <= p <= infinity, by functions with bounded spectrum, are investigated. A description of certain function spaces in terms of the best approximations are obtained and some imbedding theorems are proved.

引用

页码：163 / 175

页数：13

共 47 条

[41] Best approximation methods and widths for some classes of functions in Hq,ρ, 1 ≤ q ≤ ∞, 0 < ρ ≤ 1
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[47] Upper Bounds for the Approximation of Some Classes of Bivariate Functions by Triangular Fourier-Hermite Sums in the Space L2,ρ(Double-struck capital R2)
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