Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness

Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness

We present an estimate of the degree of best multi approximation of unbounded function on 〖[-1,1]〗^d by algebraic polynomials in weighted space. The studied of the relation between the best approximation of derivatives functions in weighted space and the best approximation of unbounded functions in...

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Veröffentlicht in:Journal of University of Anbar for Pure Science 2022-02, Vol.15 (1), p.54-61
Hauptverfasser: Khashan, Omar Amer, Auad, Alaa Adnan, Arif, Ghassan Ezzulddin
Format: Artikel
Sprache:eng
Schlagworte:
algebraic polynomials
modulus of smoothness
unbounded functions
weighed space
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Beschreibung
Zusammenfassung:We present an estimate of the degree of best multi approximation of unbounded function on 〖[-1,1]〗^d by algebraic polynomials in weighted space. The studied of the relation between the best approximation of derivatives functions in weighted space and the best approximation of unbounded functions in the same space.
ISSN:2706-6703
1991-8941
2706-6703
DOI:10.37652/juaps.2022.172433