The Lebesgue Constants of Fourier Partial Sums

Michael I. Ganzburg; Elijah Liflyand

doi:10.1007/978-3-030-12277-5_10

The Lebesgue Constants of Fourier Partial Sums

Michael I. Ganzburg
, Elijah Liflyand

Department of Mathematics

University of Hampton

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

5 Scopus citations

Abstract

We give a brief overview of the results on the behavior of the Lebesgue constants for various partial sums of multiple Fourier series. In addition, we establish a new property of the Lebesgue constants concerning its partly increasing behavior.

Original language	English
Title of host publication	Applied and Numerical Harmonic Analysis
Publisher	Springer International Publishing
Pages	147-158
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-030-12277-5_10
State	Published - 2019

Publication series

Name	Applied and Numerical Harmonic Analysis
ISSN (Print)	2296-5009
ISSN (Electronic)	2296-5017

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

Keywords

Fourier series
Homothety
Lebesgue constant
Partial sum

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10.1007/978-3-030-12277-5_10

Cite this

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KW - Fourier series

KW - Homothety

KW - Lebesgue constant

KW - Partial sum

UR - https://www.scopus.com/pages/publications/85074671852

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PB - Springer International Publishing

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The Lebesgue Constants of Fourier Partial Sums

Abstract

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Bibliographical note

Keywords

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