Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials |
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Authors: | Esra Erku?-Duman |
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Affiliation: | a Gazi University, Faculty of Arts and Sciences, Department of Mathematics, Teknikokullar TR-06500, Ankara, Turkey b TOBB Economics and Technology University, Faculty of Arts and Sciences, Department of Mathematics, Sö?ütözü TR-06530, Ankara, Turkey |
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Abstract: | In this paper, by including high order derivatives of functions being approximated, we introduce a general family of the linear positive operators constructed by means of the Chan-Chyan-Srivastava multivariable polynomials and study a Korovkin-type approximation result with the help of the concept of A-statistical convergence, where A is any non-negative regular summability matrix. We obtain a statistical approximation result for our operators, which is more applicable than the classical case. Furthermore, we study the A-statistical rates of our approximation via the classical modulus of continuity. |
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Keywords: | Chan-Chyan-Srivastava multivariable polynomials A-statistical convergence A-statistical rates The Korovkin theorem Modulus of continuity |
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