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Convergence of modification of the Durrmeyer type -Baskakov operators
-
Qing-Bo Cai
and
Xiao-Ming Zeng
Published/Copyright:
February 29, 2012
Abstract.
In this paper we introduce a new kind of
modification of Durrmeyer type 
-Baskakov operators 
based on the concept of 
-integral. These operators are different
from those proposed by Aral and Gupta in [Nonlinear Anal. 72 (2010), 1171–1180].
We establish direct and local approximation theorems of operators 
and obtain the
estimates on the rate of convergence and weighted approximation of operators 
.
Keywords.: Durrmeyer type operators; -integral; -Baskakov operators; weighted approximation; rate of convergence
Received: 2011-02-19
Published Online: 2012-02-29
Published in Print: 2012-March
© 2012 by Walter de Gruyter Berlin Boston
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Keywords for this article
Durrmeyer type operators;
-integral;
-Baskakov operators;
weighted approximation;
rate of convergence
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