一类三角插值多项式在Besov空间中的逼近(英文)  

Approximation by Certain Trigonometric Interpolation Polynomials in the Besov Space

作　　者：赵振宇[1] 侯象乾[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《数学研究》2005年第3期260-264,共5页Journal of Mathematical Study

基　　金：The author was partially supported by the Ningxia Province Foundation for ScientificResearch under Grant #A001; Found of Ningxia University (lg0416)

摘　　要：利用K泛函的定义首次研究了在Besov空间中,一类三角插值多项式的逼近和饱和问题,确定了逼近的饱和类与饱和阶.The K functional method is used in the paper which first describes the approximation and saturation problem by a certain trigonometric interpolation polynomials in the Besov spaces, the saturation class and the saturation order of approximation are determined.

关 键 词：BESOV空间 饱和类 饱和阶 三角插值 

分 类 号：O174.41[理学—数学]