APPROXIMATION BY JAIN-SCHURER OPERATORS

Nursel Çetin, Gülen Başcanbaz-Tunca

DOI Number
https://doi.org/10.22190/FUMI2005343C
First page
1343
Last page
1356

Abstract


In this paper we deal with Jain-Schurer operators. We give an estimate, related to the degree of approximation, via K-functional. Also, we present a Voronovskaja-type result. Moreover, we show that the Jain-Schurer operator preserves the properties of a modulus of continuity function. Finally, we study monotonicity of the sequence of the Jain-Schurer operators when the attached function is convex and non-decreasing.


Keywords

Jain-Schurer operators; monotonicity; moduli of smoothness; Voronovskaja-type result.

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References


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DOI: https://doi.org/10.22190/FUMI2005343C

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