Trigonometric Approximation by Modulus of Smoothness in Lp,α (X)

In this paper, we study the approximate properties of functions by means of trigonometric polynomials in weighted spaces. Relationships between modulus of smoothness of function derivatives and those of the jobs themselves are introduced. In the weighted spaces we also proved of theorems about the r...

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Veröffentlicht in:	Al-Mustansiriyah journal of science 2021-06, Vol.32 (3), p.20-25
Hauptverfasser:	Fayyadh, Mohammed Hamad, Auad, Alaa Adnan
Format:	Artikel
Sprache:	eng
Schlagworte:	keywords: best approximation , weighted space , trigonometric polynomials, modulus of smoothness
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, we study the approximate properties of functions by means of trigonometric polynomials in weighted spaces. Relationships between modulus of smoothness of function derivatives and those of the jobs themselves are introduced. In the weighted spaces we also proved of theorems about the relationship between the derivatives of the polynomials for the best approximation and the best approximation of the functions
ISSN:	1814-635X 2521-3520
DOI:	10.23851/mjs.v32i3.953