creative_2011_20_2_147_156_001

The generalization of some results for Bernstein and Stancu operators


Dan MiclăușPetru I. Braica


Abstract

creative_2011_20_2_147_156_abstract

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creative_2011_20_2_147_156

In the present paper, we generalize some results for Bernstein and Stancu operators. Firstly, we establish a relationship between two results concerning the calculation of test functions by Bernstein 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 Bernstein and Stancu operators.

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Author(s)

Braica, Petru, Miclăuș, Dan