Geodesic
Some Applications of new Modified q-Szász–Mirakyan Operators
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 2, pp. 71-82.

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This paper we introducing a new sequence of positive q-integral new Modified q-Szász-Mirakyan Operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on $[0,\infty )$. Weighted statistical approximation theorem, Korovkin-type theorems for fuzzy continuous functions, an estimate for the rate of convergence and some properties are also obtained for these operators.
Classification : 41A25, 41A35
Keywords: q-analogue Baskakov operators; q-Durrmeyer operators; rate of convergence; weighted approximation 
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PATHAK, Ramesh P.; SAHOO, Shiv Kumar. Some Applications of new Modified q-Szász–Mirakyan Operators. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 2, pp. 71-82. http://geodesic.mathdoc.fr/item/AUPO_2015__54_2_a4/