The generalization of some results for Schurer and Schurer-Stancu operators

Dan Miclăuş

doi:10.33993/jnaat401-951

Authors

Dan Miclăuş North University of Baia Mare, Romania

DOI:

https://doi.org/10.33993/jnaat401-951

Keywords:

Bernstein operators, Schurer operators, Schurer-Stancu operators, falling factorials, Pochhammer symbol, Stirling numbers of second kind, Voronovskaja type theorem, modulus of continuity, order of approximation

Abstract views: 246

Abstract

In the present paper we generalize some results for Schurer and Schurer-Stancu operators. Firstly, we establish a general formula concerning calculation of test functions by Schurer operators. Secondly, using this relationship and some known results we prove in every case a Voronovskaja type theorem, the uniform convergence and the order of approximation for Schurer and Schurer-Stancu operators.

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