Lebesgue constants of Riesz type means of negative order

E. Liflyand; A. Podkorytov

doi:10.1016/j.jmaa.2021.125618

Lebesgue constants of Riesz type means of negative order

E. Liflyand, A. Podkorytov

Department of Mathematics

St. Petersburg State University

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

2 Scopus citations

Abstract

We give an asymptotic formula for the Lebesgue constants of the Riesz means of negative order in dimension one. The obtained result allows us to extend the asymptotic relations to those for the Lebesgue constants of more general means.

Original language	English
Article number	125618
Journal	Journal of Mathematical Analysis and Applications
Volume	505
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2021.125618
State	Published - 15 Jan 2022

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Inc.

Funding

The first named author learned about this problem from V.A. Yudin. Both authors maintained friendly relations with him for decades. They highly appreciate Yudin's contribution to harmonic analysis. The authors thank the referees for attentive reading and valuable remarks and suggestions.

Keywords

Asymptotics
Lebesgue constants
Riesz means

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10.1016/j.jmaa.2021.125618

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AU - Podkorytov, A.

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KW - Asymptotics

KW - Lebesgue constants

KW - Riesz means

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Lebesgue constants of Riesz type means of negative order

Abstract

Bibliographical note

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Keywords

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