Remark on Voronovskaja theorem for q-Bernstein operators

被引：0

作者：

Finta, Zoltan ^{[1
]}

机构：

[1] Babes Bolyai Univ, Fac Math & Comp Sci, 1 Kogalniceanu St, Cluj Napoca 400084, Romania

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2011年 / 56卷 / 02期

关键词：

Voronovskaja theorem; q-integers; q-Bernstein operators; K-functional; first order Ditzian-Totik modulus of smoothness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish quantitative Voronovskaja type theorems for the q-Bernstein operators introduced by Phillips in 1997. Our estimates are given with the aid of the first order Ditzian-Totik modulus of smoothness.

引用

页码：335 / 339

页数：5

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