Open AccessSimultaneous 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