Publications de l’Institut Mathématique, Nouvelle Série, Vol. 102[116], pp. 211

Publications de l’Institut Mathématique, Nouvelle Série
Vol. 102[116], pp. 211–220 (2017)

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Applications of $(p, q)$ -gamma function to Szász Durrmeyer operators

Ali Aral, Vijay Gupta

Department of Mathematics, Kirikkale University, Yahsihan, Kirikkale, Turkey; Department of Mathematics, Netaji Subhas Institute of Technology Sector 3, Dwarka, New Delhi, India

Abstract: We define a $(p, q)$ analogue of Gamma function. As an application, we propose $(p, q)$ -Szász–Durrmeyer operators, estimate moments and establish some direct results.

Keywords: $(p, q)$ -Gamma function, $(p, q)$ -Szász–Durrmeyer operators, direct estimates, modulus of continuity

Classification (MSC2000): 33B15; 41A25

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Electronic fulltext finalized on: 3 Nov 2017. This page was last modified: 29 Jan 2018.

© 2017 Mathematical Institute of the Serbian Academy of Science and Arts
© 2017–2018 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition

Applications of (p,q)-gamma function to Szász Durrmeyer operators

Ali Aral, Vijay Gupta

Applications of $(p, q)$ -gamma function to Szász Durrmeyer operators