EMIS ELibM Electronic Journals 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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