Genuine modified Bernstein–Durrmeyer operators

The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre [Formula: see text] -functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Grüss–Voronovskaya type...

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Detalles Bibliográficos
Autores principales: Mohiuddine, Syed Abdul, Acar, Tuncer, Alghamdi, Mohammed A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5934498/
https://www.ncbi.nlm.nih.gov/pubmed/29755244
http://dx.doi.org/10.1186/s13660-018-1693-z
Descripción
Sumario:The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre [Formula: see text] -functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Grüss–Voronovskaya type theorem in quantitative mean are discussed. Finally, the graphic for new operators with special cases and for some values of n is also presented.

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