Rate of Convergence of Modified Baskakov-Durrmeyer Type Operators for Functions of Bounded Variation
Author(s) -
Prashantkumar Patel,
Vishnu Narayan Mishra
Publication year - 2014
Publication title -
journal of difference equations
Language(s) - English
Resource type - Journals
eISSN - 2356-7848
pISSN - 2356-7856
DOI - 10.1155/2014/235480
Subject(s) - bounded variation , mathematics , baskakov operator , rate of convergence , generalization , bounded function , type (biology) , convergence (economics) , variation (astronomy) , operator theory , function (biology) , mathematical analysis , microlocal analysis , fourier integral operator , computer science , physics , economics , computer network , channel (broadcasting) , ecology , evolutionary biology , economic growth , astrophysics , biology
We study a certain integral modification of well-known Baskakov operators with weight function of beta basis function. We establish rate of convergence for these operators for functions having derivative of bounded variation. Also, we discuss Stancu type generalization of these operators
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