Acar, TuncerAgrawal, P. N.Neer, Trapti2020-06-252020-06-252017closedAccess1422-63831420-9012https://doi.org/10.1007/s00025-016-0639-3https://hdl.handle.net/20.500.12587/6846Acar, Tuncer/0000-0003-0982-9459In the present paper, we introduce the Bezier-variant of Durrmeyer modification of the Bernstein operators based on a function , which is infinite times continuously differentiable and strictly increasing function on [0, 1] such that and . We give the rate of approximation of these operators in terms of usual modulus of continuity and K-functional. Next, we establish the quantitative Voronovskaja type theorem. In the last section we obtain the rate of convergence for functions having derivative of bounded variation.eninfo:eu-repo/semantics/closedAccessBezier operatorsK-functionalModulus of continuityFunctions of bounded variationBezier variant of the Bernstein-Durrmeyer type operatorsArticle7231341135810.1007/s00025-016-0639-32-s2.0-85007590794Q2WOS:000414940700021Q2