Acar, Tuncer2020-06-252020-06-252016closedAccess1072-947X1572-9176https://doi.org/10.1515/gmj-2016-0007https://hdl.handle.net/20.500.12587/6399Acar, Tuncer/0000-0003-0982-9459In the present paper, we mainly study quantitative Voronovskaya-type theorems for q-Szasz operators defined in [19]. We consider weighted spaces of functions and the corresponding weighted modulus of continuity. We obtain the quantitative q-Voronovskaya-type theorem and the q-Gruss-Voronovskaya-type theorem in terms of the weighted modulus of continuity of q-derivatives of the approximated function. In this way, we either obtain the rate of pointwise convergence of q-Szasz operators or we present these results for a subspace of continuous functions, although the classical ones are valid for differentiable functions.eninfo:eu-repo/semantics/closedAccessq-Szasz operatorsVoronovskaya-type theoremweighted modulus of continuityq-Gruss-Voronovskaya-type theoremArticle23445946810.1515/gmj-2016-00072-s2.0-84994517599Q2WOS:000387133200001Q4