Acar, TuncerAral, Ali2020-06-252020-06-252015closedAccess0163-05631532-2467https://doi.org/10.1080/01630563.2014.970646https://hdl.handle.net/20.500.12587/6203Acar, Tuncer/0000-0003-0982-9459Pointwise convergence of q-Bernstein polynomials and their q-derivatives in the case of 0 < q < 1 is discussed. We study quantitative Voronovskaya type results for q-Bernstein polynomials and their q-derivatives. These theorems are given in terms of the modulus of continuity of q-derivative of f which is the main interest of this article. It is also shown that our results hold for continuous functions although those are given for two and three times continuously differentiable functions in classical case.eninfo:eu-repo/semantics/closedAccess41A3641A25Quantitative Voronovskaya-type theoremq-Bernstein operatorsq-derivativeArticle36328730410.1080/01630563.2014.9706462-s2.0-84929075591Q2WOS:000350817400002Q3