Generalized [Formula: see text] -Bleimann-Butzer-Hahn operators and some approximation results

The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using [Formula: see text] -integers which is based on a continuously differentiable function μ on [Formula: see text] . We establish the Korovkin type approximation results and compute the degree of appro...

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Detalles Bibliográficos
Autores principales: Mursaleen, M, Nasiruzzaman, Md, Ansari, Khursheed J, Alotaibi, Abdullah
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5736783/
https://www.ncbi.nlm.nih.gov/pubmed/29290665
http://dx.doi.org/10.1186/s13660-017-1582-x
Descripción
Sumario:The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using [Formula: see text] -integers which is based on a continuously differentiable function μ on [Formula: see text] . We establish the Korovkin type approximation results and compute the degree of approximation by using the modulus of continuity. Moreover, we investigate the shape preserving properties of these operators.

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