Standard

A Generalized Translation Operator Generated by the Sinc Function on an Interval. / Arestov, V.; Deikalova, M.
In: Proceedings of the Steklov Institute of Mathematics, Vol. 323, No. S1, 01.12.2023, p. S32-S52.

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

Harvard

Arestov, V & Deikalova, M 2023, 'A Generalized Translation Operator Generated by the Sinc Function on an Interval', Proceedings of the Steklov Institute of Mathematics, vol. 323, no. S1, pp. S32-S52. https://doi.org/10.1134/S0081543823060032

APA

Arestov, V., & Deikalova, M. (2023). A Generalized Translation Operator Generated by the Sinc Function on an Interval. Proceedings of the Steklov Institute of Mathematics, 323(S1), S32-S52. https://doi.org/10.1134/S0081543823060032

Vancouver

Arestov V, Deikalova M. A Generalized Translation Operator Generated by the Sinc Function on an Interval. Proceedings of the Steklov Institute of Mathematics. 2023 Dec 1;323(S1):S32-S52. doi: 10.1134/S0081543823060032

Author

Arestov, V. ; Deikalova, M. / A Generalized Translation Operator Generated by the Sinc Function on an Interval. In: Proceedings of the Steklov Institute of Mathematics. 2023 ; Vol. 323, No. S1. pp. S32-S52.

BibTeX

@article{691e3906b96f49429ef92272e3e23125,
title = "A Generalized Translation Operator Generated by the Sinc Function on an Interval",
abstract = "We discuss the properties of the generalized translation operator generated by the system of functions (Formula presented.) in the spaces (Formula presented.), on the interval 01 with the weight (Formula presented.). We find an integral representation of this operator and study its norm in the spaces (Formula presented.). The translation operator is applied to the study of Nikol{\textquoteright}skii{\textquoteright}s inequality between the uniform norm and the (Formula presented.)-norm of polynomials in the system.",
author = "V. Arestov and M. Deikalova",
note = "This work was performed as a part of the research conducted in the Ural Mathematical Center and supported by the Ministry of Education and Science of the Russian Federation (agreement no. 075-02-2023-913).",
year = "2023",
month = dec,
day = "1",
doi = "10.1134/S0081543823060032",
language = "English",
volume = "323",
pages = "S32--S52",
journal = "Proceedings of the Steklov Institute of Mathematics",
issn = "0081-5438",
publisher = "Pleiades Publishing",
number = "S1",

}

RIS

TY - JOUR

T1 - A Generalized Translation Operator Generated by the Sinc Function on an Interval

AU - Arestov, V.

AU - Deikalova, M.

N1 - This work was performed as a part of the research conducted in the Ural Mathematical Center and supported by the Ministry of Education and Science of the Russian Federation (agreement no. 075-02-2023-913).

PY - 2023/12/1

Y1 - 2023/12/1

N2 - We discuss the properties of the generalized translation operator generated by the system of functions (Formula presented.) in the spaces (Formula presented.), on the interval 01 with the weight (Formula presented.). We find an integral representation of this operator and study its norm in the spaces (Formula presented.). The translation operator is applied to the study of Nikol’skii’s inequality between the uniform norm and the (Formula presented.)-norm of polynomials in the system.

AB - We discuss the properties of the generalized translation operator generated by the system of functions (Formula presented.) in the spaces (Formula presented.), on the interval 01 with the weight (Formula presented.). We find an integral representation of this operator and study its norm in the spaces (Formula presented.). The translation operator is applied to the study of Nikol’skii’s inequality between the uniform norm and the (Formula presented.)-norm of polynomials in the system.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85185135486

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001163182700003

U2 - 10.1134/S0081543823060032

DO - 10.1134/S0081543823060032

M3 - Article

VL - 323

SP - S32-S52

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - S1

ER -

ID: 53753753