Approximation Properties of Complex Modified Genuine Szász–Durrmeyer Operators

Approximation Properties of Complex Modified Genuine Szász–Durrmeyer Operators

In this study, to approximate integrable functions, we introduce complex modified genuine Szász–Durrmeyer operators and investigate the approximation properties of these operators. We obtain a Voronovskaja-type result with a quantitative estimate for complex modified genuine Szász–Durrmeyer operator...

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Veröffentlicht in:Computational methods and function theory 2014-12, Vol.14 (4), p.623-638
Hauptverfasser: Çetin, Nursel, İspir, Nurhayat
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Computational Mathematics and Numerical Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this study, to approximate integrable functions, we introduce complex modified genuine Szász–Durrmeyer operators and investigate the approximation properties of these operators. We obtain a Voronovskaja-type result with a quantitative estimate for complex modified genuine Szász–Durrmeyer operators attached to analytic functions having suitable exponential growth on compact disks. Also, we obtain the exact order of approximation.
ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-014-0067-x