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Convergence of modification of the Durrmeyer type -Baskakov operators
-
Qing-Bo Cai
und
Xiao-Ming Zeng
Veröffentlicht/Copyright:
29. Februar 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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Schlagwörter für diesen Artikel
Durrmeyer type operators;
-integral;
-Baskakov operators;
weighted approximation;
rate of convergence
Artikel in diesem Heft
- Masthead
- Stability estimates for the multidimensional elliptic obstacle problem
- On the two-point boundary value problems for linear impulsive systems with singularities
- Explicit solutions of the boundary value problems of the theory of consolidation with double porosity for the half-plane
- Convergence of modification of the Durrmeyer type -Baskakov operators
- Backward stochastic differential equations with a convex generator
- On some ideal defined by density topology in the Cantor set
- Maximal operator of the Fejér means of triangular partial sums of two-dimensional Walsh–Fourier series
- Fixed point theorems for hybrid mappings satisfying an integral type contractive condition
- On the nonexistence of blowing-up solutions to a fractional functional-differential equation
- Two-weight inequalities for multilinear maximal operators
- An asymptotic model of a nonlinear adaptive orthotropic elastic rod
- Approximation of functions on locally compact abelian groups
