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Bernstein polynomial and discontinuous functions
Authors:Jorge Bustamante  Miguel A García-Muñoz  José M Quesada
Institution:1. Fac. Ciencias Físico Matemáticas, B. Universidad Autónoma de Puebla, Av. San Claudio y Rio Verde, San Manuel, 62570 Puebla, Puebla, Mexico;2. Department of Mathematics, Universidad de Jaén, Spain
Abstract:We obtain new estimates of the rate of convergence of Bernstein operators for discontinuous functions on 0,1]0,1] which can be used to derive known results for continuous functions and functions of bounded variation.
Keywords:Bernstein polynomial  Discontinuous functions  Rate of convergence
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