DIRECT AND CONVERSE RESULTS FOR q-BERNSTEIN OPERATORS

被引：3

作者：

Finta, Zoltan ^{[1
]}

机构：

[1] Univ Babes Bolyai, Dept Math, RO-400084 Cluj Napoca, Romania

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2009年 / 52卷

关键词：

q-Bernstein polynomials; K-functional; Ditzian-Totik modulus of smoothness; Berens-Lorentz-type theorem; POLYNOMIALS;

D O I：

10.1017/S0013091507001228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Direct and converse theorems are established for the q-Bernstein polynomials introduced by G. M. Phillips. The direct approximation theorems are given for the second-order Ditzian-Totik modulus of smoothness. The converse results are theorems of Berens-Lorentz type.

引用

页码：339 / 349

页数：11

共 9 条

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