Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Department: search.filters.department.Çankaya UniversitySubject: search.filters.subject.14E20

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  • Article
    Citation - Scopus: 1
    Δ-Β Integral Operators for a Space of Locally Integrable Generalized Functions
    (Springer, 2020) Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Al-Omari, Shrideh Khalaf
    In this article, we give a definition and discuss several properties of the delta-beta -Gabor integral operator in a class of locally integrable Boehmians. We derive delta sequences, convolution products and establish a convolution theorem for the given delta-beta -integral. By treating the delta sequences, we derive the necessary axioms to elevate the delta-beta -Gabor integrable spaces of Boehmians. The said generalized delta-beta -Gabor integral is, therefore, considered as a one-to-one and onto mapping continuous with respect to the usual convergence of the demonstrated spaces. In addition to certain obtained inversion formula, some consistency results are also given.