Coconvex approximation in the uniform norm: The final frontier

被引：4
|
作者：
Kopotun, K [1 ]
Leviatan, D
Shevchuk, IA
机构：
[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
[2] Tel Aviv Univ, Sch Math Sci, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Tel Aviv, Israel
[3] Natl Taras Shevchenko Univ Kyiv, Fac Mech & Math, UA-01033 Kiev, Ukraine
来源：
ACTA MATHEMATICA HUNGARICA | 2006年 / 110卷 / 1-2期
关键词：
coconvex approximation by polynomials; degree of approximation;
D O I：
10.1007/s10474-006-0010-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper deals with approximation of a continuous function, on a finite interval, which changes convexity finitely many times, by algebraic polynomials which are coconvex with it. We give final answers to open questions concerning the validity of Jackson type estimates involving the weighted Ditzian Totik moduli of smoothness.
引用
收藏
页码：117 / 151
页数：35
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