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Approximation by Means of Kantorovich-Stancu Type Operators
Authors:Sezgin Sucu  Ertan Ibikli
Institution:1. Faculty of Science, Department of Mathematics , Ankara University , Ankara , Turkey ssucu@ankara.edu.tr;3. Faculty of Science, Department of Mathematics , Ankara University , Ankara , Turkey
Abstract:The purpose of this article is to give a Kantorovich generalization of Stancu type polynomials. We obtain convergence properties of our operators in the continuous function space and Lebesgue spaces. Furthermore, we get the order of approximation with the help of modulus of continuity and give a numerical example for approximation.
Keywords:Approximation in L p [0  1]  Kantorovich operators  Korovkin theorem  Modulus of continuity  Rate of convergence
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