Best trigonometric approximation of unbounded function in Lp,Ɵ (X)

Best trigonometric approximation of unbounded function in Lp,Ɵ (X)

In this paper ,we study the equivalence relationship between the modulus of continuity and k-functional . also the direct and inverse approximation theorems of unbounded functions by trigonometric polynomials in weighted space Lp,ϑ (X) are considered.

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Bibliographische Detailangaben
Hauptverfasser: Arif, Ghassan Ezzulddin, Auad, Alaa Adnan, Sabri, Abdulsalam Mohammed
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Approximation
Continuity (mathematics)
Functionals
Functions (mathematics)
Mathematical analysis
Polynomials
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Beschreibung
Zusammenfassung:In this paper ,we study the equivalence relationship between the modulus of continuity and k-functional . also the direct and inverse approximation theorems of unbounded functions by trigonometric polynomials in weighted space Lp,ϑ (X) are considered.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0128654