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Beta operators with Jacobi weights

2014/02/14 by Heiner Gonska, Gonska, Heiner, Ioan Raşa +3
Mathematics · #33B15 #41A36 #41A60 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1402.3485

openalex publication_date 2014/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss Beta operators with Jacobi weights on C[0,1] for α,β≥-1, thus including the discussion of three limiting cases. Emphasis is on the moments and their asymptotic behavior. Extended Voronovskaya-type results and a discussion concerning the over-iteration of the operators are included.

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