Bernstein polynomial and discontinuous functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:411

Article

Bustamante, Jorge¹  Garcia-Munoz, Miguel A.²  Quesada, Jose M.² 

[1] B Univ Autonoma Puebla, Fac Ciencias Fis Matemat, Puebla 62570, Mexico

[2] Univ Jaen, Dept Math, Jaen, Spain

关键词: Bernstein polynomial;    Discontinuous functions;    Rate of convergence;   

DOI  :  10.1016/j.jmaa.2013.10.024

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free