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Öğe Genuine modified bernstein-durrmeyer operators(SPRINGER INTERNATIONAL PUBLISHING AG, 2018) Mohiuddine, Syed Abdul; Acar, Tuncer; Alghamdi, Mohammed A.The 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.
