Basic Fourier Series: Convergence on and Outside the q-Linear Grid

被引：0

作者：

J. L. Cardoso

机构：

[1] CM-UTAD,UTAD, Quinta de Prados, Edifício das Ciências Florestais, Departamento de Matemática

来源：

Journal of Fourier Analysis and Applications | 2011年 / 17卷

关键词：

-trigonometric functions; -Fourier series; Basic Fourier expansions; Uniform convergence; -linear grid; 42C10; 33D15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A q-type Hölder condition on a function f is given in order to establish (uniform) convergence of the corresponding basic Fourier series Sq[f] to the function itself, on the set of points of the q-linear grid. Furthermore, by adding other conditions, one guarantees the (uniform) convergence of Sq[f] to f on and “outside” the set points of the q-linear grid.

引用

页码：96 / 114

页数：18

共 29 条

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