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 11.jpg [0,1]by using Bernstein's polynomial involving on Ditizian-Totik modulus of smoothnessw.jpg . 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
JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2014-03-18

Issue

Vol. 7 No. 2 (2014)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

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