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

作　　者：Sinem SEZER Ilham A. ALIEV 

机构地区：[1]Department of Mathematics, Akdeniz University, 07058 Antalya, Turkey

出　　处：《Acta Mathematica Sinica,English Series》2011年第4期741-746,共6页数学学报（英文版）

摘　　要：The notion of μ-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.The notion of μ-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.

关 键 词：Multiple Fourier series Fourier transform Gauss-Weierstrass summability modulus ofcontinuity 

分 类 号：O177.2[理学—数学] O174.21[理学—基础数学]