About the sharp Jackson-Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere

被引：0

作者：

Deikalova, M. V. ^{[1
]}

机构：

[1] Ural State Univ, Ekaterinburg, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2009年 / 15卷 / 01期

关键词：

multidimensional Euclidean sphere; algebraic polynomials; Jackson-Nikol'skii inequality;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The best constant C-n,C- (m) in the Jackson-Nikol'skii inequality between uniform and integral norms of algebraic polynomials of 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.

引用

页码：122 / 134

页数：13

共 40 条

[1] On the sharp Jackson-Nikol’skii inequality for algebraic polynomials on a multidimensional Euclidean sphere
M. V. Deikalova
Proceedings of the Steklov Institute of Mathematics, 2009, 266 : 129 - 142
[2] On the Sharp Jackson-Nikol'skii Inequality for Algebraic Polynomials on a Multidimensional Euclidean Sphere
Deikalova, M. V.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2009, 266 : S129 - S142
[3] Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere
Arestov, V. V.
Deikalova, M. V.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2013, 19 (02): : 34 - 47
[4] Nikol’skii inequality for algebraic polynomials on a multidimensional Euclidean sphere
V. V. Arestov
M. V. Deikalova
Proceedings of the Steklov Institute of Mathematics, 2014, 284 : 9 - 23
[5] Nikol'skii Inequality for Algebraic Polynomials on a Multidimensional Euclidean Sphere
Arestov, V. V.
Deikalova, M. V.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2014, 284 : S9 - S23
[6] Jackson - Nikol'skii inequality between the uniform and integral norms of algebraic polynomials on a Euclidean sphere
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[7] Analogs of the jackson-nikol'skii inequalities for trigonometric polynomials in spaces with nonsymmetric norm
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Mathematical Notes, 1997, 61 : 574 - 584
[8] Analogs of the Jackson-Nikol'skii inequalities for trigonometric polynomials in spaces with nonsymmetric norm
Kozko, AI
MATHEMATICAL NOTES, 1997, 61 (5-6) : 574 - 584
[9] An analog of the Jackson-Nikol'skii theorem on the approximation by superpositions of sigmoidal functions
Andrianov, AV
MATHEMATICAL NOTES, 1996, 59 (5-6) : 661 - 664
[10] The sharp Markov-Nikol'skii inequality for algebraic polynomials in the spaces Lq and L0 on a closed interval
Glazyrina, P. Yu.
MATHEMATICAL NOTES, 2008, 84 (1-2) : 3 - 21

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