On differences of linear positive operators

被引：0
|
作者：
Ali Aral
Daniela Inoan
Ioan Raşa
机构：
[1] Kırıkkale University,Department of Mathematics
[2] Technical University of Cluj-Napoca,Department of Mathematics
来源：
Analysis and Mathematical Physics | 2019年 / 9卷
关键词：
-functionals; Weighted moduli of smoothness; Chebyshev functional; Primary 41A36; Secondary 41A25;
D O I：
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学科分类号：
摘要：
In this paper we consider two different general linear positive operators defined on unbounded interval and obtain estimates for the differences of these operators in quantitative form. Our estimates involve an appropriate K-functional and a weighted modulus of smoothness. Similar estimates are obtained for Chebyshev functional of these operators as well. All considerations are based on rearrangement of the remainder in Taylor’s formula. The obtained results are applied for some well known linear positive operators.
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页码：1227 / 1239
页数：12
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