加权广义大勒贝格空间中的哈尔多项式和沃尔什多项式逼近法

IF 0.3 4区数学 Q4 MATHEMATICS Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-07-09 DOI:10.3103/s1068362324700079

B. I. Golubov, S. S. Volosivets

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引用次数: 0

摘要

摘要本文给出了在加权广义大勒贝格空间中用哈尔多项式和沃尔什多项式逼近的直接定理。此外，还在上述空间中处理了沃尔什-帕利-傅里叶级数的 Borel、Euler、Riesz-Zygmund 和 Nörlund 线性手段的近似程度。

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Approximation by Haar and Walsh Polynomials in Weighted Generalized Grand Lebesgue Space

Abstract

In the paper we give direct theorems on approximation by Haar and Walsh polynomials in weighted generalized grand Lebesgue space. Also the degree of approximation by Borel, Euler, Riesz–Zygmund, and Nörlund linear means of Walsh–Paley–Fourier series are treated in the above cited space.

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来源期刊

Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) is an outlet for research stemming from the widely acclaimed Armenian school of theory of functions, this journal today continues the traditions of that school in the area of general analysis. A very prolific group of mathematicians in Yerevan contribute to this leading mathematics journal in the following fields: real and complex analysis; approximations; boundary value problems; integral and stochastic geometry; differential equations; probability; integral equations; algebra.