Convergence Properties of Generalized Fourier Series on a Parallel Hexagon Domain

被引：1
作者：
Wang ShuyunLiang XuezhangFu Yao and Sun XuenanSchool of MathematicsJilin UniversityChangchunDepartment of MathematicsNortheast Normal UniversityChangchun [1 ,1 ,1 ,2 ,1 ,130012 ,2 ,130024 ]
机构：
来源：
CommunicationsinMathematicalResearch | 2009年 / 25卷 / 02期
关键词：
three-direction coordinate; kernel function; generalized Fourier series; uniform convergence;
D O I：
10.13447/j.1674-5647.2009.02.002
中图分类号：
O174.21 [正交级数（傅里叶级数）];
学科分类号：
070104 ;
摘要：
A new Rogosinski-type kernel function is constructed using kernel function of partial sums Sn(f;t) of generalized Fourier series on a parallel hexagon domain Ω associating with three-direction partition.We prove that an operator Wn(f;t) with the new kernel function converges uniformly to any continuous function f(t) ∈ C*(Ω)(the space of all continuous functions with period Ω) on Ω.Moreover,the convergence order of the operator is presented for the smooth approached function.
引用
收藏
页码：104 / 114
页数：11
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