A generalization of Szasz-Mirakyan operators based on q-integers
Künye
closedAccessÖzet
In this paper, we introduce a generalization of Szasz-Mirakyan operators based on q-integers, that we call q-Szasz-Mirakyan operators. Depending on the selection of q, these operators are more flexible than the classical Szasz-Mirakyan operators while retaining their approximation properties. For these operators, we give a Voronovskaya-type theorem related to q-derivatives. Furthermore, we obtain convergence properties for functions belonging to particular subspaces of C [0, infinity) and give some representation formulas of q-Szasz-Mirakyan operators and their rth q-derivatives. (c) 2007 Elsevier Ltd. All rights reserved.
Kaynak
Mathematical And Computer ModellingCilt
47Sayı
9-10Koleksiyonlar
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