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Modern Mathematical Methods
Article . 2024 . Peer-reviewed
License: CC BY NC
Data sources: Crossref
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Modern Mathematical Methods
Article . 2024
Data sources: DOAJ
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Approximation of bounded functions by positive linear operators

descriptionPublicationkeyboard_double_arrow_right Article 04 Dec 2024Publisher:Modern Mathematical MethodsJournal:Modern Mathematical Methods, volume 2, pages 117-131 (eissn: 3023-5294, Copyright policy )
Authors: Jorge Bustamante;

doi: 10.64700/mmm.30

Approximation of bounded functions by positive linear operators

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.

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Keywords

QA1-939, power series, positive linear operators, Mathematics, rate of convergence

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Top 10%
gold