Inequalities for the Fractional Derivatives of Trigonometric Polynomials in Spaces with Integral Metrics

被引：0
|
作者：
Yu. S. Kolomoitsev
机构：
[1] Ukrainian National Academy of Sciences,Institute of Applied Mathematics and Mechanics
来源：
Ukrainian Mathematical Journal | 2015年 / 67卷
关键词：
Fractional Derivative; Trigonometric Polynomial; Homogeneous Function; Fractional Power; Small Positive Number;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We establish necessary and sufficient conditions for the validity of Bernstein-type inequalities for the fractional derivatives of trigonometric polynomials of several variables in spaces with integral metrics. The problem of sharpness of these inequalities is investigated.
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页码：45 / 61
页数：16
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