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On the sharp Jackson-Nikol’skii inequality for algebraic polynomials on a multidimensional Euclidean sphere. / Deikalova, M. v.
In: Proceedings of the Steklov Institute of Mathematics, Vol. 266, No. S1, 01.09.2009, p. 129-142.

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

Harvard

Deikalova, MV 2009, 'On the sharp Jackson-Nikol’skii inequality for algebraic polynomials on a multidimensional Euclidean sphere', Proceedings of the Steklov Institute of Mathematics, vol. 266, no. S1, pp. 129-142. https://doi.org/10.1134/S0081543809060108

APA

Deikalova, M. V. (2009). On the sharp Jackson-Nikol’skii inequality for algebraic polynomials on a multidimensional Euclidean sphere. Proceedings of the Steklov Institute of Mathematics, 266(S1), 129-142. https://doi.org/10.1134/S0081543809060108

Vancouver

Deikalova MV. On the sharp Jackson-Nikol’skii inequality for algebraic polynomials on a multidimensional Euclidean sphere. Proceedings of the Steklov Institute of Mathematics. 2009 Sept 1;266(S1):129-142. doi: 10.1134/S0081543809060108

Author

Deikalova, M. v. / On the sharp Jackson-Nikol’skii inequality for algebraic polynomials on a multidimensional Euclidean sphere. In: Proceedings of the Steklov Institute of Mathematics. 2009 ; Vol. 266, No. S1. pp. 129-142.

BibTeX

@article{b48b9d69b030477098fb09c345182ba2,
title = "On the sharp Jackson-Nikol{\textquoteright}skii inequality for algebraic polynomials on a multidimensional Euclidean sphere",
abstract = "The best constant C-n,C-m in the Jackson-Nikol'skii inequality between the uniform and integral norms of algebraic polynomials of a given total degree n >= 0 on the unit sphere Sm-1 of the Euclidean space R-m is studied. Two-sided estimates for the constant Cn, m are obtained, which, in particular, give the order n(m-1) of its behavior with respect to n as n -> +infinity for a fixed m.",
author = "Deikalova, {M. v.}",
note = "This work was supported by the Russian Foundation for Basic Research (project no. 08-01-00213).",
year = "2009",
month = sep,
day = "1",
doi = "10.1134/S0081543809060108",
language = "English",
volume = "266",
pages = "129--142",
journal = "Proceedings of the Steklov Institute of Mathematics",
issn = "0081-5438",
publisher = "Pleiades Publishing",
number = "S1",

}

RIS

TY - JOUR

T1 - On the sharp Jackson-Nikol’skii inequality for algebraic polynomials on a multidimensional Euclidean sphere

AU - Deikalova, M. v.

N1 - This work was supported by the Russian Foundation for Basic Research (project no. 08-01-00213).

PY - 2009/9/1

Y1 - 2009/9/1

N2 - The best constant C-n,C-m in the Jackson-Nikol'skii inequality between the uniform and integral norms of algebraic polynomials of a given total degree n >= 0 on the unit sphere Sm-1 of the Euclidean space R-m is studied. Two-sided estimates for the constant Cn, m are obtained, which, in particular, give the order n(m-1) of its behavior with respect to n as n -> +infinity for a fixed m.

AB - The best constant C-n,C-m in the Jackson-Nikol'skii inequality between the uniform and integral norms of algebraic polynomials of a given total degree n >= 0 on the unit sphere Sm-1 of the Euclidean space R-m is studied. Two-sided estimates for the constant Cn, m are obtained, which, in particular, give the order n(m-1) of its behavior with respect to n as n -> +infinity for a fixed m.

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000268192700010

U2 - 10.1134/S0081543809060108

DO - 10.1134/S0081543809060108

M3 - Article

VL - 266

SP - 129

EP - 142

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - S1

ER -

ID: 38590262