A New Version of the Generalized Krätzel–Fox Integral Operators

Autor: Shrideh K. Q. Al-Omari, Ghalib Jumah, Jafar Al-Omari, Deepali Saxena
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Mathematics, Vol 6, Iss 11, p 222 (2018)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math6110222
Popis: 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.
Databáze: Directory of Open Access Journals
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