Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric

Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric

We obtain asymptotic equalities for upper bounds of approximations of functions from the class C β,∞ ψ by Poisson integrals in the metric of the space C .

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Ukrainian mathematical journal 2009-11, Vol.61 (11), p.1757-1779
Hauptverfasser: Zhyhallo, T. V., Kharkevych, Yu. I.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We obtain asymptotic equalities for upper bounds of approximations of functions from the class C β,∞ ψ by Poisson integrals in the metric of the space C .
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-010-0311-0