Aral A.Acar T.2020-06-252020-06-252016978981101453621941009https://doi.org/10.1007/978-981-10-1454-3_1https://hdl.handle.net/20.500.12587/25071st International Conference on Modern Mathematical Methods and High Performance Computing in Science and Technology, M3HPCST 2015 -- 27 December 2015 through 29 December 2015 -- -- 179589The concern of this paper is to introduce new generalized Durrmeyer-type operators from which classical operators can be obtained as a particular case, inspiring from the Ibragimov–Gadjiev operators (Gadjiev and Ibragimov, Soviet Math. Dokl. 11, 1092–1095, (1970) [8]).After the construction of newDurrmeyer operators is given, we obtain some pointwise convergence theorems and Voronovskaya-type asymptotic formula for new Durrmeyer-type operators. We establish a quantitative version of the Voronovskaya-type formula with the aid of the weighted modulus of continuity. Some special cases of new operators are presented as examples. © Springer Science+Business Media Singapore 2016.eninfo:eu-repo/semantics/closedAccessDurrmeyer operatorsIbragimov–Gadjiev operatorsVoronovskaya theoremWeighted modulus of continuityConference Object17111510.1007/978-981-10-1454-3_12-s2.0-84981509456Q4