Blending type approximation by Stancu-Kantorovich operators based on Polya-Eggenberger distribution
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CitationKajla Arun, & Araci Serkan. (January 01, 2017). Blending type approximation by Stancu-Kantorovich operators based on Pólya-Eggenberger distribution. Open Physics, 15, 1, 335-343.
In the paper the authors introduce the Kantorovich variant of Stancu operators based on Polya-Eggenberger distribution. By making use of this new operator, we obtain some indispensable auxiliary results. We also deal with a Voronovskaja type asymptotic formula and some estimates of the rate of approximation involving modulus of smoothness, such as Ditzian-Totik modulus of smoothness. The rate of convergence for differential functions whose derivatives are bounded is also obtained.