K-FUNCTIONALS AND MODULI OF SMOOTHNESS OF FUNCTIONS DEFINED ON COMPACT METRIC-SPACES

被引：17
|
作者：
BADEA, C
机构：
[1] Mathématique, Bât. 425
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 30卷 / 3-6期
关键词：
MODULI OF SMOOTHNESS; K-FUNCTIONAL; METRIC SPACES; QUANTITATIVE KOROVKIN THEOREMS; JACKSON-TYPE THEOREMS;
D O I：
10.1016/0898-1221(95)00083-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
One proves that Peetre's K-functional for the couple (C(X),Lip(X)) and the first order modulus of continuity are equivalent for every Peano continuum. Some inequalities for the first order modulus of continuity and the mixed modulus of smoothness of functions defined on some compact metric spaces are proved and some possible applications are indicated.
引用
收藏
页码：23 / 31
页数：9
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