Weighted A-Statistical Convergence for Sequences of Positive Linear Operators

We introduce the notion of weighted A-statistical convergence of a sequence, where A represents the nonnegative regular matrix. We also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence. Further, we give a rate of weighted A-statistical convergence an...

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Detalles Bibliográficos
Autores principales: Mohiuddine, S. A., Alotaibi, Abdullah, Hazarika, Bipan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4102091/
https://www.ncbi.nlm.nih.gov/pubmed/25105160
http://dx.doi.org/10.1155/2014/437863
Descripción
Sumario:We introduce the notion of weighted A-statistical convergence of a sequence, where A represents the nonnegative regular matrix. We also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence. Further, we give a rate of weighted A-statistical convergence and apply the classical Bernstein polynomial to construct an illustrative example in support of our result.

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