Aral, AliGupta, Vijay2020-06-252020-06-252006closedAccess0008-0624https://doi.org/10.1007/s10092-006-0119-3https://hdl.handle.net/20.500.12587/3640Gupta, Vijay/0000-0002-5768-5763By using the properties of the q-derivative, we show that q-Szasz Mirakyan operators are convex, if the function involved is convex, generalizing well-known results for q = 1. We also show that q-derivatives of these operators converge to q-derivatives of approximated functions. Futhermore, we give a Voronovskaya-type theorem for monomials and provide a Stancu-type form for the remainder of the q-Szasz Mirakyan operator. Lastly, we give an inequality for a convex function f, involving a connection between two nonconsecutive terms of a sequence of q-Szasz Mirakyan operators.eninfo:eu-repo/semantics/closedAccessArticle43315117010.1007/s10092-006-0119-32-s2.0-33750901136Q1WOS:000240734100002Q4