Approximation by Jackson-type operator on the sphere

被引：0

作者：

Cao, Feilong ^{[1
]}

Guo, Xiaofei ^{[1
]}

机构：

[1] China Jiliang Univ, Dept Informat & Math Sci, Hangzhou 310018, Zhejiang, Peoples R China

来源：

MATHEMATICAL COMMUNICATIONS | 2010年 / 15卷 / 02期

基金：

中国国家自然科学基金;

关键词：

approximation; Jackson-type operator; saturation order; saturation class; sphere; INEQUALITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses the approximation by a Jackson-type operator on the sphere. By using a spherical translation operator, a modulus of smoothness of high order, which is used to bound the rate of approximation of the Jackson-type operator, is introduced. Furthermore, the method of multipliers is applied to characterize the saturation order and saturation class of the operator. In particular, the function of saturation class is expressed by an apparent formula. The results obtained in this paper contain the corresponding ones of the Jackson operator.

引用

页码：331 / 346

页数：16

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