B\'{e}zier Variant of generalized Bernstein-Durrmeyer type operators

In this paper, we define B\'{e}zier variant of generalized Bernstein-Durrmeyer type operators of second order, introduced by Ana et al. Then, we find an error estimate in terms of terms of Ditzian Totik modulus of smoothness. Next, we study the rate of approximation for a larger class of functi...

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Bibliographic Details
Main Authors Singh, Karunesh Kumar, Gairola, Asha Ram
Format Journal Article
LanguageEnglish
Published 22.05.2020
Subjects
Mathematics - Classical Analysis and ODEs
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Summary:In this paper, we define B\'{e}zier variant of generalized Bernstein-Durrmeyer type operators of second order, introduced by Ana et al. Then, we find an error estimate in terms of terms of Ditzian Totik modulus of smoothness. Next, we study the rate of approximation for a larger class of functions of bounded variation.
DOI:10.48550/arxiv.2005.12698