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-Baskakov operators1Department of Mathematics, Xiamen University, Xiamen 361005; and School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, P. R. China
2Department of Mathematics, Xiamen University, Xiamen 361005, P. R. China
Citation Information: Georgian Mathematical Journal. Volume 19, Issue 1, Pages 49–61, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: 10.1515/gmj-2012-0001, February 2012
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
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