Weighted Approximation of $r$-Monotone Functions on the Real Line by Bernstein Operators

Weighted Approximation of $r$-Monotone Functions on the Real Line by Bernstein Operators

Year:    2011

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 3 : pp. 239–250

Abstract

In this paper, we give error estimates for the weighted approximation of $r$-monotone functions on the real line with Freud weights by Bernstein-type operators.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.1007/s10496-011-0239-8

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 3 : pp. 239–250

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Freud weight $r$-monotone function Bernstein-type operator.