Mohiuddine, Syed AbdulAcar, TuncerAlghamdi, Mohammed A.2020-03-262020-03-262018Mohiuddine, S. A., Acar, T., Alghamdi, M. A. (2018). Genuine Modified Bernstein-Durrmeyer Operators. Journal of Inequalities and Applications, 104.1029-242Xhttps://dx.doi.org/10.1186/s13660-018-1693-zhttps://hdl.handle.net/20.500.12395/36659The present paper deals with genuine Bernstein-Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre K-functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Gruss-Voronovskaya type theorem in quantitative mean are discussed. Finally, the graphic for new operators with special cases and for some values of n is also presented.en10.1186/s13660-018-1693-zinfo:eu-repo/semantics/openAccessGenuine Bernstein-Durrmeyer operatorsRate of convergenceQuantitative Voronovskaya theoremGruss-Voronovskaya theoremArticle29755244Q2WOS:000432565200001Q1