ON PROBLEMS OF THE DIVERGENCE OF LOGARITHMIC MEANS OF FOURIER SERIES

Ushangi Goginava; Farrukh Mukhamedov

doi:10.1090/proc/17191

ON PROBLEMS OF THE DIVERGENCE OF LOGARITHMIC MEANS OF FOURIER SERIES

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

The present study provides an answer to certain long-standing divergence problems involving the logarithmic means of Fourier series in the context of general orthonormal systems.

Original language	English
Pages (from-to)	2555-2564
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	153
Issue number	6
DOIs	https://doi.org/10.1090/proc/17191
Publication status	Published - Jun 2025

Keywords

Almost everywhere divergence
Fourier series
logarithmic means

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/17191

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title = "ON PROBLEMS OF THE DIVERGENCE OF LOGARITHMIC MEANS OF FOURIER SERIES",

abstract = "The present study provides an answer to certain long-standing divergence problems involving the logarithmic means of Fourier series in the context of general orthonormal systems.",

keywords = "Almost everywhere divergence, Fourier series, logarithmic means",

author = "Ushangi Goginava and Farrukh Mukhamedov",

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year = "2025",

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doi = "10.1090/proc/17191",

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KW - logarithmic means

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JF - Proceedings of the American Mathematical Society

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ON PROBLEMS OF THE DIVERGENCE OF LOGARITHMIC MEANS OF FOURIER SERIES

Abstract

Keywords

ASJC Scopus subject areas

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