2016/08/27 by Ulrich Abel, Abel, Ulrich
Mathematics · #26D05 #39B62 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials #math.CA #msc:26D05 #msc:39B62
paper · pdf · doi:10.48550/arxiv.1609.00234
arxiv created 2016/08/27 · openalex publication_date 2016/08/27 · arxiv updated 2016/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an elementary proof of a conjecture by I. Raşa which is an inequality involving Bernstein basis polynomials and convex functions. It was affirmed in positive very recently by the use of stochastic convex orderings. Moreover, we derive the corresponding results for Mirakyan-Favard-Szász operators and Baskakov operators.