Product Summability Transform of Conjugate Series of Fourier Series

Product Summability Transform of Conjugate Series of Fourier Series

A known theorem, Nigam (2010) dealing with the degree of approximation of conjugate of a signal belonging to Lipξ(t)-class by (E,1)(C,1) product summability means of conjugate series of Fourier series has been generalized for the weighted W(Lr,ξ(t)), (r≥1),(t>0)-class, where ξ(t) is nonnegative a...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2012, Vol.2012 (2012), p.466-478-033
Hauptverfasser: Mishra, Vishnu Narayan, Khatri, Kejal, Narayan Mishra, Lakshmi
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Conjugates
Dealing
Fourier series
Mathematical analysis
Mathematics
Studies
Theorems
Transforms
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A known theorem, Nigam (2010) dealing with the degree of approximation of conjugate of a signal belonging to Lipξ(t)-class by (E,1)(C,1) product summability means of conjugate series of Fourier series has been generalized for the weighted W(Lr,ξ(t)), (r≥1),(t>0)-class, where ξ(t) is nonnegative and increasing function of t, by En1Cn1~ which is in more general form of Theorem 2 of Nigam and Sharma (2011).
ISSN:0161-1712
1687-0425
DOI:10.1155/2012/298923