Some approximation properties of a Durrmeyer variant of q-Bernstein-Schurer operators

Some approximation properties of a Durrmeyer variant of q-Bernstein-Schurer operators

In this paper, we will propose a Durrmeyer variant of q‐Bernstein–Schurer operators. A Bohman–Korovkin‐type approximation theorem of these operators is considered. The rate of convergence by using the first modulus of smoothness is computed. The statistical approximation of these operators is also s...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematical methods in the applied sciences 2016-12, Vol.39 (18), p.5636-5650
Hauptverfasser: Acu, Ana-Maria, Muraru, Carmen Violeta, Sofonea, Daniel Florin, Radu, Voichiţa Adriana
Format: Artikel
Sprache:eng
Schlagworte:
moduli of continuity
q-Durrmeyer-Bernstein-Schurer operators
q-integers
rate of convergence
statistical convergence
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we will propose a Durrmeyer variant of q‐Bernstein–Schurer operators. A Bohman–Korovkin‐type approximation theorem of these operators is considered. The rate of convergence by using the first modulus of smoothness is computed. The statistical approximation of these operators is also studied. Copyright © 2016 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3949