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On the Durrmeyer type modification of the q-Baskakov type operators
(Pergamon-Elsevier Science Ltd, 2010)
This paper deals with Durrmeyer type generalization of q-Baskakov type operators using the concept of q-integral, which introduces a new sequence of positive q-integral operators. We show that this sequence is an approximation ...
Convergence of the q analogue of Szasz-Beta operators
(Elsevier Science Inc, 2010)
In the present paper we introduce the q analogue of the well known Szasz-Beta operators [11]. We also establish the approximation properties of these operators and estimate convergence results. In the end we propose an ...
On Kantorovich Modification of (p, q)-Bernstein Operators
(Springer International Publishing Ag, 2018)
In the present paper, we introduce Kantorovich modifications of (p, q)-Bernstein operators using a new (p, q) -integral. We first estimate the moments and central moments. We obtain uniform convergence of new operators, ...
Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators
(Springer International Publishing Ag, 2018)
In the present paper, we introduce Kantorovich modifications of (p, q)-Bernstein operators for bivariate functions using a new (p, q)-integral. We first estimate the moments and central moments. We give the uniform convergence ...
Generalized Picard singular integrals
(Pergamon-Elsevier Science Ltd, 2009)
in this article, we introduce and study a new type of Picard singular integral operators on R-n constructed by means of the concept of the nonisotropic beta-distance and the q-exponential functions. The central role here ...