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Shape-preserving properties of a new family of generalized Bernstein operators

In this paper, we introduce a new family of generalized Bernstein operators based on q integers, called [Formula: see text] -Bernstein operators, denoted by [Formula: see text] . We investigate a Kovovkin-type approximation theorem, and obtain the rate of convergence of [Formula: see text] to any co...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Veröffentlicht in:J Inequal Appl
Hauptverfasser: Cai, Qing-Bo, Xu, Xiao-Wei
Format: Artigo
Sprache:Inglês
Veröffentlicht: Springer International Publishing 2018
Schlagworte:
Online Zugang:https://ncbi.nlm.nih.gov/pmc/articles/PMC6154056/
https://ncbi.nlm.nih.gov/pubmed/30839680
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1186/s13660-018-1821-9
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