On the Jackson-Stechkin inequality for algebraic polynomials

被引：0
作者：
Mironenko, A. V. [1 ]
机构：
[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Moscow, Russia
来源：
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2010年 / 16卷 / 04期
关键词：
Jackson inequality; approximation by algebraic polynomials; modulus of continuity;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Jackson-Stechkin inequality is considered, which estimates the value of the best uniform approximation of a continuous function by algebraic polynomials on a closed interval in terms of values of the modulus of continuity of the approximated function. A variant of the inequality with second-order modulus of continuity and explicit specification of the argument of the modulus of continuity and the constant is proved.
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页码：246 / 253
页数：8
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