Diyala Journal for Pure Science DJPS

P- ISSN:2222-8373, E-ISSN:2518-9255

Volume 14, Issue 1, Part 1 , Januar y. 2018

On the Approximation in the Weighted Spaces ( ) via Spline Polynomials

Rokan Khaji Mohammed, Alaa Adnan Auad, Alaa Mahmood Farhan , Shahad Jassem Mahmood

Year: 2018, Volume: 14, Issue: 1, Part:1

Pages: 218-228 , DOI: http://dx.doi.org/10.24237/djps.1401.380D 

Language: English

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Abstract

In this paper, we introduce a new norm and modulus in weighted spaces ) ) of order . Via these modulus, we prove the direct and inverse spline approximation inequalities of unbounded functions in weighted spaces )  (;  which is the main results of our paper.

Keyword: Direct and inverse inequalities, Unbounded functions, Spline polynomials, Weighted spaces.