混合规范中球族交点的科尔莫格罗夫宽度

IF 0.9 3区数学 Q2 MATHEMATICS

Journal of Approximation Theory Pub Date : 2024-04-27 DOI:10.1016/j.jat.2024.106046

A.A. Vasil’eva

引用次数: 0

摘要

本文获得了混合规范空间 lq,σm,k 中 2⩽q,σ<∞, n⩽mk/2 的球族交集的柯尔莫哥洛夫 n 宽的阶估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Kolmogorov widths of an intersection of a family of balls in a mixed norm

In this paper, order estimates for the Kolmogorov $n$ -widths of an intersection of a family of balls in a mixed norm in the space $l_{q, σ}^{m, k}$ with $2 ⩽ q, σ < \infty$ , $n ⩽ m k / 2$ are obtained.

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来源期刊

Journal of Approximation Theory 数学-数学

CiteScore

1.90

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Approximation Theory is devoted to advances in pure and applied approximation theory and related areas. These areas include, among others: • Classical approximation • Abstract approximation • Constructive approximation • Degree of approximation • Fourier expansions • Interpolation of operators • General orthogonal systems • Interpolation and quadratures • Multivariate approximation • Orthogonal polynomials • Padé approximation • Rational approximation • Spline functions of one and several variables • Approximation by radial basis functions in Euclidean spaces, on spheres, and on more general manifolds • Special functions with strong connections to classical harmonic analysis, orthogonal polynomial, and approximation theory (as opposed to combinatorics, number theory, representation theory, generating functions, formal theory, and so forth) • Approximation theoretic aspects of real or complex function theory, function theory, difference or differential equations, function spaces, or harmonic analysis • Wavelet Theory and its applications in signal and image processing, and in differential equations with special emphasis on connections between wavelet theory and elements of approximation theory (such as approximation orders, Besov and Sobolev spaces, and so forth) • Gabor (Weyl-Heisenberg) expansions and sampling theory.