Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

被引：5
作者：
Ozkartepe, P. [1 ]
Imashkyzy, M. [2 ]
Abdullayev, F. G. [2 ,3 ]
机构：
[1] Gaziantep Univ, Gaziantep, Turkiye
[2] Kyrgyz Turkish Manas Univ, Bishkek, Kyrgyzstan
[3] Mersin Univ, Mersin, Turkiye
来源：
FILOMAT | 2023年 / 37卷 / 17期
关键词：
Bernstein inequality; Nikolskii inequality; Markov inequality; Algebraic polynomials; Conformal mapping; Quasicircle; WALSH-TYPE INEQUALITIES; HOLDER CONTINUITY; REGIONS; DERIVATIVES; BOUNDARY; CORNERS; GROWTH;
D O I：
10.2298/FIL2317701O
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study Bernstein, Markov and Nikol'skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour.
引用
收藏
页码：5701 / 5715
页数：15
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