Fourier-Haar coefficients and properties of continuous functions

被引：0

作者：

V. Tsagareishvili

机构：

[1] Tbilisi State University,

来源：

Mathematical Notes | 2010年 / 87卷

关键词：

orthonormal Haar system; Fourier-Haar coefficient; continuous function; Abel transformation; binary irrational point;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is well known that if the Fourier-Haar coefficients have a certain order or if a certain series composed of the Fourier-Haar coefficients of a function f(x) ∈ C(0, 1) converges, then the function has a certain form. In the present paper, we prove that not only the Fourier-Haar coefficients, but also the difference of these coefficients possess these properties.

引用

页码：416 / 424

页数：8

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