Convergence of the Bernstein-Durrmeyer operators in variation seminorm

2016/04/30 by Ozlem Oksuzer, Özlem Öksüzer, Harun Karsli +5
Engineering · Mathematics · #41A25 #41A35 #41A36 #Advanced Numerical Analysis Techniques #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:41A25 #msc:41A35 #msc:41A36

paper · pdf · doi:10.48550/arxiv.1605.03976

14 pages

arxiv created 2016/04/30 · openalex publication_date 2016/04/30 · arxiv updated 2016/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to study variation detracting property and con- vergence in variation of the Bernstein-Durrmeyer modifications of the classical Bernstein operators in the space of functions of bounded variation. These problems are studied with respect to the variation seminorm. Moreover we also study the problem of the rate of approximation.

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