On Approximation by Stancu Type Jakimovski-Leviatan- Durrmeyer Operators

M. Mursaleen, T. Khan

Abstract


In this paper we introduce and study the Stancu type generalization of the Jakimovski-Leviatan-Durrmeyer operators and examine their approximation properties. We investigate the convergence of these operators with the help of Korovkin’s approximation theorem. Also, we study local approximation properties and some direct theorems for these operators.


Keywords


Szász operators, Favard-Szász operators, Appell polynomials, Jaki- movski-Leviatan-Durrmeyer operators, modulus of continuity, positive linear operators, Korovkin type approximation theorem, local approximation, weighted space.

References


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