Approximation by trigonometric polynomials in variable exponent Morrey spaces

Approximation by trigonometric polynomials in variable exponent Morrey spaces

We investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space M p ( · ) , λ ( · ) with variable exponents. For this space, we obtain estimates of the K -functional in terms of the modulus of smoothness and the Bernstein type inequality for trigonometric polynomials...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Analysis and mathematical physics 2019-09, Vol.9 (3), p.1265-1285
Hauptverfasser: Guliyev, Vagif S., Ghorbanalizadeh, Arash, Sawano, Yoshihiro
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Polynomials
Smoothness
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space M p ( · ) , λ ( · ) with variable exponents. For this space, we obtain estimates of the K -functional in terms of the modulus of smoothness and the Bernstein type inequality for trigonometric polynomials.
ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-018-0231-y