The Best Approximation by Using Bernstein's Polynomial in Lp  [0,1]

Ahmed Abbas Mezaal

doi:10.24297/jam.v7i2.2589

The Best Approximation by Using Bernstein's Polynomial in Lp [0,1]

Authors

Ahmed Abbas Mezaal Thi-Qar University, Thi-Qar, Iraq

DOI:

https://doi.org/10.24297/jam.v7i2.2589

Keywords:

Bernstein's polynomial, Moduli of smoothness

Abstract

We estimate in this paper the degree of approximation of [0,1]by using Bernstein's polynomial involving on Ditizian-Totik modulus of smoothness . On the other hand, we consider this polynomial to obtain an equivalence approximation theorem with this modulus.

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Author Biography

Ahmed Abbas Mezaal, Thi-Qar University, Thi-Qar, Iraq

Department of Mathematics, College of Computer Science and Mathematics

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Published

2014-03-18

How to Cite

Mezaal, A. A. (2014). The Best Approximation by Using Bernstein’s Polynomial in Lp [0,1]. JOURNAL OF ADVANCES IN MATHEMATICS, 7(2), 1172–1179. https://doi.org/10.24297/jam.v7i2.2589