Bernstein polynomial and discontinuous functions |
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Authors: | Jorge Bustamante Miguel A García-Muñoz José M Quesada |
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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 |
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Abstract: | We obtain new estimates of the rate of convergence of Bernstein operators for discontinuous functions on 0,1] which can be used to derive known results for continuous functions and functions of bounded variation. |
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Keywords: | Bernstein polynomial Discontinuous functions Rate of convergence |
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