Szasz-Mirakjan Type Operators Of Two Variables Providing A Better Estimation On [0; 1] x [0; 1]
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Date
2011
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Matematicki Vesnik
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Abstract
This paper deals with a modification of the classical Szasz-Mirakjan type operators of two variables. It introduces a new sequence of non-polynomial linear operators which hold fixed the polynomials x2 +?x and y2 +?y with ?, ? ? [0;?) and we study the convergence properties of the new approximation process. Also, we compare it with Szasz-Mirakjan type operators and show an improvement of the error of convergence in [0; 1] x [0; 1]. Finally, we study statistical convergence of this modification.
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Szasz-Mirakjan type operators, A-Statistical convergence for double sequences, Korovkin-type approximation theorem, Modulus of continuity
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Dirik, F., Demirci, K. "Szasz-Mirakjan Type Operators Of Two Variables Providing A Better Estimation On [0; 1] x [0; 1]". Matematicki Vesnik. 63, 1 (2011), 59–66.
