Aral, Ali2020-06-252020-06-252008closedAccess0895-7177https://doi.org10.1016/j.mcm.2007.06.018https://hdl.handle.net/20.500.12587/4176In 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.eninfo:eu-repo/semantics/closedAccessq-Szasz-Mirakyan operatorsdivided differenceq-exponential functionsq-derivativesArticle479-101052106210.1016/j.mcm.2007.06.0182-s2.0-41549166800N/AWOS:000255511900021Q2