Best approximations of periodic functions in generalized lebesgue spaces

被引：0

作者：

S. O. Chaichenko

机构：

[1] Slavyansk State Pedagogic University,

来源：

Ukrainian Mathematical Journal | 2013年 / 64卷

关键词：

Fourier Series; Periodic Function; Approximation Theory; Trigonometric Polynomial; LEBESGUE Space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In generalized Lebesgue spaces with variable exponent, we determine the orders of the best approximations in the classes of (ψ; β)-differentiable 2π-periodic functions, deduce an analog of the well-known Bernstein inequality for the (ψ; β)-derivative, and apply this inequality to prove the inverse theorems of approximation theory in these classes.

引用

页码：1421 / 1439

页数：18

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