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Autumn 2016 $(p,q)$-type beta functions of second kind
Ali Aral, Vijay Gupta
Adv. Oper. Theory 1(1): 134-146 (Autumn 2016). DOI: 10.22034/aot.1609.1011

Abstract

In the present article, we propose the $(p,q)$-variant of beta function of second kind and establish a relation between the generalized beta and gamma functions using some identities of the post-quantum calculus. As an application, we also propose the $(p,q)$-Baskakov-Durrmeyer operators, estimate moments and establish some direct results.

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Ali Aral. Vijay Gupta. "$(p,q)$-type beta functions of second kind." Adv. Oper. Theory 1 (1) 134 - 146, Autumn 2016. https://doi.org/10.22034/aot.1609.1011

Information

Received: 17 October 2016; Accepted: 29 November 2016; Published: Autumn 2016
First available in Project Euclid: 4 December 2017

zbMATH: 1359.41004
MathSciNet: MR3721330
Digital Object Identifier: 10.22034/aot.1609.1011

Subjects:
Primary: 41A25
Secondary: 41A39

Keywords: $(p, q)$-beta function of second kind , $(p, q)$-gamma function , Baskakov operator , Durrmeyer variant

Rights: Copyright © 2016 Tusi Mathematical Research Group

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