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

被引：14

作者：

Cardoso, J. L. ^{[1
]}

机构：

[1] CM UTAD, UTAD, Dept Matemat, P-5001911 Vila Real, Portugal

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2011年 / 17卷 / 01期

关键词：

q-trigonometric functions; q-Fourier series; Basic Fourier expansions; Uniform convergence; q-linear grid; ZEROS;

D O I：

10.1007/s00041-010-9161-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A q-type Holder condition on a function f is given in order to establish (uniform) convergence of the corresponding basic Fourier series S-q[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 S-q[f] to f on and "outside" the set points of the q-linear grid.

引用

页码：96 / 114

页数：19

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