Mustansiriyah Journal of Pure and Applied Sciences

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

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

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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.