Some extensions of a certain integral transform to a quotient space of generalized functions

• Autorzy: Shrideh K.Q. Al-Omari , Jafar F. Al-Omari
• Języki publikacji: EN

Abstrakty

EN

In this paper, we establish certain spaces of generalized functions for a class of ɛs2,1 transforms. We give the definition and derive certain properties of the extended ɛs2,1 transform in a context of Boehmian spaces. The extended ɛs2,1 transform is therefore well defined, linear and consistent with the classical ɛs2,1 transforms. Certain results are also established in some detail.

Słowa kluczowe

EN

ɛs2,1 transform; Generalized function; Lebesgue space; Boehmian space

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-06-17

zaakceptowano

2015-10-19

online

2015-11-25

Twórcy

autor

Shrideh K.Q. Al-Omari

• Omari: Department of Applied Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134,
  Jordan

autor

Jafar F. Al-Omari

• Omari: Department of Applied Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134,
  Jordan

Bibliografia

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• [3] Al-Omari, S. K. Q., Kilicman, A., On generalized Hartley-Hilbert and Fourier-Hilbert transforms, Adva. Diff. Equ., 2012, 2012:232 doi:10.1186/1687-1847-2012-232, 1-12 [Crossref]
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• [21] Al-Omari, S. K. Q., On a class of generalized Meijer-Laplace transforms of Fox function type kernels and their extension to a class of Boehmians, Bull. kore. Math. Soc., 2015, In Press.
• [22] Al-Omari, S. K. Q., Agarwal, P., Some general properties of a fractional Sumudu transform in the class of Boehmians, Kuwait J. Scie. Engin., 2015, In Press.
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Identyfikatory

DOI

10.1515/math-2015-0075