Best approximation of functions in generalized Hölder class

Here, for the first time, error estimation of the functions g ∈ H z ( w ) and g ˜ ∈ H z ( w ) classes using T C 1 method of F. S. (Fourier Series) and C. F. S. (Conjugate Fourier Series), respectively, are determined. The results of (Dhakal in Int. Math. Forum 5(35):1729–1735, 2010 ; Dhakal in Int....

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of inequalities and applications 2018, Vol.2018 (1), p.276-15, Article 276
Hauptverfasser: Nigam, H. K., Hadish, Md
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Here, for the first time, error estimation of the functions g ∈ H z ( w ) and g ˜ ∈ H z ( w ) classes using T C 1 method of F. S. (Fourier Series) and C. F. S. (Conjugate Fourier Series), respectively, are determined. The results of (Dhakal in Int. Math. Forum 5(35):1729–1735, 2010 ; Dhakal in Int. J. Eng. Technol. 2(3):1–15, 2013 ; Kushwaha and Dhakal in Nepal J. Sci. Technol. 14(2):117–122, 2013 ) become the particular cases of our Theorem  2.1 . Some important corollaries are also deduced from our main theorems.
ISSN:1025-5834
1029-242X
1029-242X
DOI:10.1186/s13660-018-1864-y