On uniform approximation of abstract functions on convex polygons

被引：0
|
作者：
Dodonov N.Yu. [1 ]
机构：
[1] St.Petersburg State University,
来源：
Journal of Mathematical Sciences | 2007年 / 144卷 / 6期
关键词：
Pairwise Disjoint; Operator Versus; Convex Compact; Uniform Approximation; Integration Variable;
D O I：
10.1007/s10958-007-0297-9
中图分类号：
学科分类号：
摘要：
Approximation aggregates of summatory type are constructed for functions f: Q → X, where Q is a convex polygon in ℝ2 and X is a real Banach space. An assertion providing an accuracy estimate for an uniform approximation in terms of the modulus of continuity of the second order for f is proved. Differential properties of such aggregates are studied. Bibliography: 7 titles. © 2007 Springer Science+Business Media, Inc.
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页码：4592 / 4611
页数：19
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