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

Access to Document

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

Cite this

@inbook{47df21027c40482c80c6723109081644,

title = "The Lebesgue Constants of Fourier Partial Sums",

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.",

keywords = "Fourier series, Homothety, Lebesgue constant, Partial sum",

author = "Ganzburg, {Michael I.} and Elijah Liflyand",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",

year = "2019",

doi = "10.1007/978-3-030-12277-5_10",

language = "אנגלית",

series = "Applied and Numerical Harmonic Analysis",

publisher = "Springer International Publishing",

pages = "147--158",

booktitle = "Applied and Numerical Harmonic Analysis",

}

TY - CHAP

T1 - The Lebesgue Constants of Fourier Partial Sums

AU - Ganzburg, Michael I.

AU - Liflyand, Elijah

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Fourier series

KW - Homothety

KW - Lebesgue constant

KW - Partial sum

UR - http://www.scopus.com/inward/record.url?scp=85074671852&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-12277-5_10

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

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.chapter???

AN - SCOPUS:85074671852

T3 - Applied and Numerical Harmonic Analysis

SP - 147

EP - 158

BT - Applied and Numerical Harmonic Analysis

PB - Springer International Publishing

ER -

The Lebesgue Constants of Fourier Partial Sums

Abstract

Publication series

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this