Functions of Generalized Wiener Classes BV (p(n) ↑ ∞, ϕ) and their Fourier Coefficients-Reference-Cited by-同舟云学术

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Functions of Generalized Wiener Classes BV (p(n) ↑ ∞, ϕ) and their Fourier Coefficients

Published:2000-09 Issue:3 Volume:7 Page:401-416
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:
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Author:

Akhobadze T.

Abstract

Abstract Generalized Wiener classes are considered. For these classes the exact order of Fourier coefficients with respect to the trigonometrical system is established. The property of Fourier coefficient indices is investigated, at which the specified exact order is achieved.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

http://www.degruyter.com/view/j/gmj.2000.7.issue-3/gmj.2000.401/gmj.2000.401.pdf

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Generalized Cesáro Summability of Trigonometric Fourier Series;Mathematical Notes;2020-05

2. On the classes of functions of generalized bounded variation;Banach Journal of Mathematical Analysis;2020-01-01

3. Relations between BV*(q;α) and Λ*BVp classes of functions;Georgian Mathematical Journal;2018-09-01

4. Properties of Functions of Generalized Bounded Variations;Mathematical Analysis, Approximation Theory and Their Applications;2016

5. On the absolute convergence of the series of Fourier coefficients with respect to haar-like systems in the class BV (p(n) ↑ p, ϕ);Journal of Contemporary Mathematical Analysis;2015-11

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