Nikol'skiǐ-type inequality with doubling weights

Feilong Cao; Shaobo Lin

Nikol'skiǐ-type inequality with doubling weights

Feilong Cao
, Shaobo Lin

管理学院

China Jiliang University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

There have been some polynomial inequalities with doubling weights such as Bernstein inequality, Marcinkiewicz inequality, etc. This paper deals with weighted Nikol'skiǐ-type inequality. By using the modulus of smoothness and the best polynomial approximation as tools, a Nikol'skiǐ-type inequality with doubling weights for trigonometric polynomials is established.

源语言	英语
页（从-至）	822-829
页数	8
期刊	Journal of Computational Analysis and Applications
卷	13
期	5
出版状态	已出版 - 2011

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abstract = "There have been some polynomial inequalities with doubling weights such as Bernstein inequality, Marcinkiewicz inequality, etc. This paper deals with weighted Nikol'skiǐ-type inequality. By using the modulus of smoothness and the best polynomial approximation as tools, a Nikol'skiǐ-type inequality with doubling weights for trigonometric polynomials is established.",

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T1 - Nikol'skiǐ-type inequality with doubling weights

AU - Cao, Feilong

AU - Lin, Shaobo

PY - 2011

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N2 - There have been some polynomial inequalities with doubling weights such as Bernstein inequality, Marcinkiewicz inequality, etc. This paper deals with weighted Nikol'skiǐ-type inequality. By using the modulus of smoothness and the best polynomial approximation as tools, a Nikol'skiǐ-type inequality with doubling weights for trigonometric polynomials is established.

AB - There have been some polynomial inequalities with doubling weights such as Bernstein inequality, Marcinkiewicz inequality, etc. This paper deals with weighted Nikol'skiǐ-type inequality. By using the modulus of smoothness and the best polynomial approximation as tools, a Nikol'skiǐ-type inequality with doubling weights for trigonometric polynomials is established.

KW - Doubling weight

KW - Modulus of smoothness

KW - Nikol'skiǐ inequality

UR - https://www.scopus.com/pages/publications/84885339793

M3 - 文章

AN - SCOPUS:84885339793

SN - 1521-1398

VL - 13

SP - 822

EP - 829

JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

IS - 5

ER -

Nikol'skiǐ-type inequality with doubling weights

摘要

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