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Bézier Variant of generalized Bernstein-Durrmeyer type operators

2020/05/23 by Karunesh Kumar Singh, Singh, Karunesh Kumar, Asha Ram Gairola +1
Mathematics · #41A25 #41A28 #41A36 #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #math.CA #msc:41A25 #msc:41A28 #msc:41A36

paper · pdf · doi:10.48550/arxiv.2005.12698

12 pages. arXiv admin note: substantial text overlap with arXiv:2005.03885

arxiv created 2020/05/23 · openalex publication_date 2020/05/23 · arxiv updated 2020/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we define Bézier 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.

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