Best one sided approximation of unbounded functions trigonometrical polynomials for one dimensional weighted-space

Hajr Imad Rajaa; Alaa Adnan Auad

doi:10.47831/mjpas.v2i4.161

Best one sided approximation of unbounded functions trigonometrical polynomials for one dimensional weighted-space

Authors

Hajr Imad Rajaa Department of Mathematics, College of Education for Pure Science, University of Anbar
Alaa Adnan Auad Department of Mathematics, College of Education for Pure Science, University of Anbar

DOI:

https://doi.org/10.47831/mjpas.v2i4.161

Keywords:

Direct theorem, Inverse theorem, Trigonometric polynomials, Un bounded functions

Abstract

The aim of studying this research is to find the best one sided trigonometrical approximation of unbounded function of one variable in weighted space. Moreover we estimated the degree of the best one-sided trigonometrical approximation by averaged modulus of smoothness in same space.