Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators | Zendy

Vijay Gupta | Zendy; Durvesh Kumar Verma | Zendy; P. Ν. Agrawal | Zendy

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Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators

Author(s) -

Vijay Gupta,

Durvesh Kumar Verma,

P. Ν. Agrawal

Publication year - 2012

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.1016/j.joems.2012.07.001

Subject(s) - mathematics , modulus of continuity , asymptotic formula , baskakov operator , rate of convergence , order (exchange) , convergence (economics) , function (biology) , type (biology) , mathematical analysis , operator theory , ecology , channel (broadcasting) , engineering , finance , evolutionary biology , economic growth , microlocal analysis , electrical engineering , economics , biology , fourier integral operator

In the present paper, we establish some direct results in simultaneous approximation for Baskakov–Durrmeyer–Stancu (abbr. BDS) operators Dn(α,β)(f,x). We establish point-wise convergence, Voronovskaja type asymptotic formula and an error estimate in terms of second order modulus of continuity of the function

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