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Approximation properties of Szasz-Mirakyan-Kantorovich type operators
(Wiley, 2019)
In this paper, we introduce and study new type Szasz-Mirakyan-Kantorovich operators using a technique different from classical one. This allow to analyze the mentioned operators in terms of exponential test functions instead ...
On the generalized Picard and Gauss Weierstrass singular integrals
(Eudoxus Press, Llc, 2006)
In this paper, we give the generalizations of the Picard and the Gauss Weierstrass singular integral operators which are based on the q-numbers and depend on q-generalization of the Euler gamma integral. Later on, some ...
Approximation by k-th order modifications of Szász-Mirakyan operators
(Akademiai Kiado Rt, 2016)
In this paper, we study the k-th order Kantorovich type modication of Szasz-Mirakyan operators. We first establish explicit formulas giving the images of monomials and the moments up to order six. Using this modification, ...
Quantitative Voronovskaya Type Theorems For A General Sequence of Linear Positive Operators
(Univ Nis, Fac Sci Math, 2019)
The present paper deal with the obtaining quantitative form of the results presented Butzer & Karsli [1]. That is, we prove quantitative simultaneous results by general sequence of positive linear operators which are valid ...