Approximation by certain linking operators

Approximation by certain linking operators

In this paper, we improve the order of approximation of certain operators linking Bernstein and genuine Bernstein–Durrmeyer operators. Firstly, we obtain some direct results in terms of modulus of continuity and Voronovskaja type asymptotic formula for these operators. Finally, we give some numerica...

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Veröffentlicht in:Annals of functional analysis 2020-09, Vol.11 (4), p.1184-1202
Hauptverfasser: Acu, Ana-Maria, Başcanbaz-Tunca, Gülen, Çetin, Nursel
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Mathematics
Mathematics and Statistics
Original Paper
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Zusammenfassung:In this paper, we improve the order of approximation of certain operators linking Bernstein and genuine Bernstein–Durrmeyer operators. Firstly, we obtain some direct results in terms of modulus of continuity and Voronovskaja type asymptotic formula for these operators. Finally, we give some numerical examples regarding the obtained theoretical results for new constructed operators.
ISSN:2639-7390
2008-8752
DOI:10.1007/s43034-020-00081-x