Δ-Β Integral Operators for a Space of Locally Integrable Generalized Functions
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nisar, Kottakkaran Sooppy | |
| dc.contributor.author | Al-Omari, Shrideh Khalaf | |
| dc.date.accessioned | 2022-03-31T13:21:07Z | |
| dc.date.accessioned | 2025-09-18T14:08:52Z | |
| dc.date.available | 2022-03-31T13:21:07Z | |
| dc.date.available | 2025-09-18T14:08:52Z | |
| dc.date.issued | 2020 | |
| dc.description | Al-Omari, Shrideh/0000-0001-8955-5552 | en_US |
| dc.description.abstract | 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. | en_US |
| dc.identifier.citation | Al-Omari, Shrideh Khalaf; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy (2020). "delta-beta-Gabor integral operators for a space of locally integrable generalized functions", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02961-x | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85090994650 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02961-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13236 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Delta-Beta-Gabor Integral | en_US |
| dc.subject | Time-Frequency Integral | en_US |
| dc.subject | Signal | en_US |
| dc.subject | Gabor Integral | en_US |
| dc.subject | Boehmian | en_US |
| dc.subject | Window Function | en_US |
| dc.subject | 54C40 | en_US |
| dc.subject | 14E20 | en_US |
| dc.subject | 46E25 | en_US |
| dc.subject | 20C20 | en_US |
| dc.title | Δ-Β Integral Operators for a Space of Locally Integrable Generalized Functions | en_US |
| dc.title | delta-beta-Gabor integral operators for a space of locally integrable generalized functions | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Nisar, Kottakkaran/F-7559-2015 | |
| gdc.author.wosid | Al-Omari, Shrideh/E-5065-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Al-Omari, Shrideh Khalaf] Al Balqa Appl Univ, Fac Engn Technol, Dept Phys & Basic Sci, Amman 11134, Jordan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Eskisehir Yolu 29 Km, TR-06810 Ankara, Turkey; [Nisar, Kottakkaran Sooppy] Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Aldawasir, Saudi Arabia | en_US |
| gdc.description.issue | 1 | en_US |
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