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.
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页码：416 / 424
页数：8
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