On the Sumudu Transform and Its Extension to a Class of Boehmians | Zendy

Shrideh AlOmari | Zendy

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On the Sumudu Transform and Its Extension to a Class of Boehmians

Author(s) -

Shrideh AlOmari

Publication year - 2014

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.1155/2014/463901

Subject(s) - mathematics , extension (predicate logic) , class (philosophy) , quotient , space (punctuation) , pure mathematics , field (mathematics) , algebraic number , inverse , integral transform , algebra over a field , mathematical analysis , geometry , computer science , artificial intelligence , programming language , operating system

Boehmians are used for all objects obtained by an algebraic construction similar to that of the field of quotients. In literature, several integral transforms have been extended to various Boehmian spaces but a few to the space of strong Boehmians. As shown in the work of Al-Omari (2013), this work describes certain spaces of Boehmians. The Sumudu transform is therefore established and it is one-one and continuous in the space of Boehmians. The inverse transform is given and some results are also discussed.

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