The Direct and Converse Theorems for Best Approximation of Algebraic Polynomial in Lp, α (X)-Reference-Cited by-同舟云学术

The Direct and Converse Theorems for Best Approximation of Algebraic Polynomial in Lp, α (X)

Published:2021-05-01 Issue:3 Volume:1879 Page:032010
ISSN:1742-6588
Container-title:Journal of Physics: Conference Series
language:
Short-container-title:J. Phys.: Conf. Ser.

Author:

Auad Alaa Adnan,Fayyadh Mohammed Hamad

Abstract

Abstract The direct and inverse algebraic polynomials approximation theorems in weighted spaces of unbounded functions are proved by using modulus of smoothness. Also, we obtain sharp Jackson ( direct ) inequality of algebraic approximation of unbounded functions in terms modulus of smoothness. In addition, constructive characterization of modulus of smoothness are considered.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Link

https://iopscience.iop.org/article/10.1088/1742-6596/1879/3/032010/pdf

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