Approximation by complex modified Szász-Mirakjan operators

Nursel Çetin; Nurhayat İspir

doi:10.1556/sscmath.50.2013.3.1247

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 50: Issue 3

Approximation by complex modified Szász-Mirakjan operators

Authors:

Nursel Çetin

Nursel Çetin Ankara University Department of Mathematics, Faculty of Science 06100 Tandogan, Ankara Turkey

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Nurhayat İspir

Nurhayat İspir Gazi University Department of Mathematics, Faculty of Science 06500 Teknikokullar, Ankara Turkey

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Pages:: 355–372

Online Publication Date:: 08 Oct 2013

Publication Date:: 01 Sep 2013

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.50.2013.3.1247

Keywords:: Primary 30E10; 41A35; 41A25; 41A28; 30C45; Complex Szász-Mirakjan operators; Voronovskaja type results; exact orders of approximation; univalence; starlikeness; convexity and spirallikeness

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In this study, we investigate approximation properties and obtain Voronovskaja type results for complex modified Szász-Mirakjan operators. Also, we estimate the exact orders of approximation in compact disks and prove that the complex modified Szász-Mirakjan operators attached to an analytic function preserve the univalence, starlikeness, convexity and spirallikeness in the unit disk.

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

Online ISSN:: 1588-2896

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András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics)

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Imre BÁRÁNY (Rényi Institute of Mathematics)
Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
Péter CSIKVÁRI (ELTE, Budapest)
Joshua GREENE (Boston College)
Penny HAXELL (University of Waterloo)
Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
Satoru IWATA (University of Tokyo)
Tibor JORDÁN (ELTE, Budapest)
Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
Márton NASZÓDI (ELTE, Budapest)
Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
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