A New Version of the Generalized Krätzel–Fox Integral Operators

Shrideh K. Q. Al-Omari, Ghalib Jumah, Jafar Al-Omari and Deepali Saxena
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Shrideh K. Q. Al-Omari: Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, Jordan
Ghalib Jumah: Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, Jordan
Jafar Al-Omari: Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, Jordan
Deepali Saxena: Department of Mathematics, University of Jizan, Jizan 45142, Saudi Arabia

Mathematics, 2018, vol. 6, issue 11, 1-8

Abstract: This article deals with some variants of Krätzel integral operators involving Fox’s H -function and their extension to classes of distributions and spaces of Boehmians. For real numbers a and b > 0 , the Fréchet space H a , b of testing functions has been identified as a subspace of certain Boehmian spaces. To establish the Boehmian spaces, two convolution products and some related axioms are established. The generalized variant of the cited Krätzel-Fox integral operator is well defined and is the operator between the Boehmian spaces. A generalized convolution theorem has also been given.

Keywords: H -function; kernel method; Krätzel function; Krätzel operator; distribution space; Boehmian space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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