Approximation of bounded functions by positive linear operators

A general family of positive linear operators associated with a power expansion is studied. An upper estimate of the rate of convergence is obtained for bounded continuous functions in \([0,\infty)\) that has limit when \(x\to \infty\). Applications are included.

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Publication Details

Journal
Modern Mathematical Methods
Published
2024-12-04
DOI
https://doi.org/10.64700/mmm.30
Citations
4
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
2.84
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article

Approximation of bounded functions by positive linear operators

Jorge A. Bustamante
4 citations
Modern Mathematical Methods
Approximation Theory and Sequence Spaces
2.84
article

Approximation of bounded functions by positive linear operators

Jorge A. Bustamante
article en
4 citations

Abstract

A general family of positive linear operators associated with a power expansion is studied. An upper estimate of the rate of convergence is obtained for bounded continuous functions in \([0,\infty)\) that has limit when \(x\to \infty\). Applications are included.

Modern Mathematical MethodsVol. 2(3)
Benemérita Universidad Autónoma de Puebla (MX)
Openalex Percentile: Top 8%
Approximation Theory and Sequence Spaces
2.84
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Approximation of bounded functions by positive linear operators — Jorge A. Bustamante · Modern Mathematical Methods (2024) | TGRS Research Map | TGRS