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In the present paper we introduce the Durrmeyer type modification of Stancu operators based on Pólya-Eggenberger distribution. For these new operators some indispensable auxiliary results are established in the second… Click to show full abstract
In the present paper we introduce the Durrmeyer type modification of Stancu operators based on Pólya-Eggenberger distribution. For these new operators some indispensable auxiliary results are established in the second section. Our further study focuses on a Voronovskaja type asymptotic formula and some estimates of the rate of approximation involving modulus of smoothness, respectively DitzianTotik modulus of smoothness. The rate of convergence for differential functions whose derivatives are of bounded variation is also obtained.
Journal Title: Filomat
Year Published: 2018
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