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 |
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Article number | 125618 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 505 |
Issue number | 2 |
DOIs | |
State | Published - 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.
Keywords
- Asymptotics
- Lebesgue constants
- Riesz means