New quantitative results for the convergence of the iterates of some positive linear operators

被引：2

作者：

Birou, Marius Mihai ^{[1
]}

机构：

[1] Tech Univ Cluj Napoca, Str Memorandumului 28, Cluj Napoca 400114, Romania

来源：

POSITIVITY | 2019年 / 23卷 / 02期

关键词：

Positive linear operators; q-operators; Convergence of the iterates; The second order modulus of smoothness;

D O I：

10.1007/s11117-018-0608-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain quantitative results for the convergence of the iterates of some positive linear operators which preserve certain functions. Some examples involving q-operators are given. We show that the considered q-operators, 0<q<1, provide faster convergence for the iterates than those from the classical case (q=1).

引用

页码：315 / 326

页数：12

共 23 条

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