Lebesgue constants of Riesz type means of negative order

E. Liflyand, A. Podkorytov

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish
Article number125618
JournalJournal of Mathematical Analysis and Applications
Issue number2
StatePublished - 15 Jan 2022

Bibliographical note

Funding Information:
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.

Publisher Copyright:
© 2021 Elsevier Inc.


  • Asymptotics
  • Lebesgue constants
  • Riesz means


Dive into the research topics of 'Lebesgue constants of Riesz type means of negative order'. Together they form a unique fingerprint.

Cite this