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Axioms
Article . 2024 . Peer-reviewed
License: CC BY
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Axioms
Article . 2024
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Article . 2024
Data sources: DBLP
Multidisciplinary Digital Publishing Institute
Other literature type . 2024
License: CC BY
Data sources: Multidisciplinary Digital Publishing Institute
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On Lebesgue Constants

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 26 Jul 2024 English Publisher:MDPI AGJournal:Axioms, volume 13, page 505 (eissn: 2075-1680, Copyright policy )
Authors: Manuel Duarte Ortigueira; Gabriel Bengochea;

doi: 10.3390/axioms13080505

On Lebesgue Constants

Abstract

Simple formulae for Lebesgue constants arising in the classical Fourier series approximation are obtained. Both even and odd cases are addressed, extending Fejér’s results. Asymptotic formulae are also obtained.

Related Organizations
Keywords

QA1-939, Lebesgue constant, Fourier series approximation, Dirichlet kernel, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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