On the Gauss-Weierstrass Summability of Multiple Trigonometric Series at μ-smoothness Points

被引：6
|
作者：
Sezer, Sinem [1 ]
Aliev, Ilham A. [1 ]
机构：
[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 04期
关键词：
Multiple Fourier series; Fourier transform; Gauss-Weierstrass summability; modulus of continuity; INTEGRALS;
D O I：
10.1007/s10114-011-9399-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notion of mu-smoothness points of periodic functions of several variables is introduced and the rate of convergence of the Gauss-Weierstrass means of relevant Fourier series at these points is investigated.
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页码：741 / 746
页数：6
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