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Lebesgue constants of Riesz type means of negative order. / Liflyand, E.; Podkorytov, A.

In: Journal of Mathematical Analysis and Applications, Vol. 505, No. 2, 125618, 15.01.2022.

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

Harvard

Liflyand, E & Podkorytov, A 2022, 'Lebesgue constants of Riesz type means of negative order', Journal of Mathematical Analysis and Applications, vol. 505, no. 2, 125618. https://doi.org/10.1016/j.jmaa.2021.125618

APA

Liflyand, E., & Podkorytov, A. (2022). Lebesgue constants of Riesz type means of negative order. Journal of Mathematical Analysis and Applications, 505(2), [125618]. https://doi.org/10.1016/j.jmaa.2021.125618

Vancouver

Liflyand E, Podkorytov A. Lebesgue constants of Riesz type means of negative order. Journal of Mathematical Analysis and Applications. 2022 Jan 15;505(2). 125618. https://doi.org/10.1016/j.jmaa.2021.125618

Author

Liflyand, E. ; Podkorytov, A. / Lebesgue constants of Riesz type means of negative order. In: Journal of Mathematical Analysis and Applications. 2022 ; Vol. 505, No. 2.

BibTeX

@article{476d1e0de5b54a75ae44cc139c3781b5,
title = "Lebesgue constants of Riesz type means of negative order",
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.",
keywords = "Asymptotics, Lebesgue constants, Riesz means, MULTIPLE FOURIER-SERIES",
author = "E. Liflyand and A. Podkorytov",
note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",
year = "2022",
month = jan,
day = "15",
doi = "10.1016/j.jmaa.2021.125618",
language = "English",
volume = "505",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Elsevier",
number = "2",

}

RIS

TY - JOUR

T1 - Lebesgue constants of Riesz type means of negative order

AU - Liflyand, E.

AU - Podkorytov, A.

N1 - Publisher Copyright: © 2021 Elsevier Inc.

PY - 2022/1/15

Y1 - 2022/1/15

N2 - 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.

AB - 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.

KW - Asymptotics

KW - Lebesgue constants

KW - Riesz means

KW - MULTIPLE FOURIER-SERIES

UR - http://www.scopus.com/inward/record.url?scp=85114433556&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2021.125618

DO - 10.1016/j.jmaa.2021.125618

M3 - Article

AN - SCOPUS:85114433556

VL - 505

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

M1 - 125618

ER -

ID: 86291962