An estimate of Sumudu transforms for Boehmians
The space of Boehmians is constructed using an algebraic approach that utilizes convolution and approximate identities or delta sequences. A proper subspace can be identified with the space of distributions. In this paper, we first construct a suitable Boehmian space on which the Sumudu transform ca...
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30048/ http://psasir.upm.edu.my/id/eprint/30048/1/An%20estimate%20of%20Sumudu%20transforms%20for%20Boehmians.pdf |
| _version_ | 1848846568323547136 |
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| author | Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem |
| author_facet | Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem |
| author_sort | Al-Omari, Shrideh Khalaf Qasem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The space of Boehmians is constructed using an algebraic approach that utilizes convolution and approximate identities or delta sequences. A proper subspace can be identified with the space of distributions. In this paper, we first construct a suitable Boehmian space on which the Sumudu transform can be defined and the function space S can be embedded. In addition to this, our definition extends the Sumudu transform to more general spaces and the definition remains consistent for S elements. We also discuss the operational properties of the Sumudu transform on Boehmians and finally end with certain theorems for continuity conditions of the extended Sumudu transform and its inverse with respect to δ- and Δ-convergence. |
| first_indexed | 2025-11-15T09:04:47Z |
| format | Article |
| id | upm-30048 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:04:47Z |
| publishDate | 2013 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-300482019-11-22T04:17:45Z http://psasir.upm.edu.my/id/eprint/30048/ An estimate of Sumudu transforms for Boehmians Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem The space of Boehmians is constructed using an algebraic approach that utilizes convolution and approximate identities or delta sequences. A proper subspace can be identified with the space of distributions. In this paper, we first construct a suitable Boehmian space on which the Sumudu transform can be defined and the function space S can be embedded. In addition to this, our definition extends the Sumudu transform to more general spaces and the definition remains consistent for S elements. We also discuss the operational properties of the Sumudu transform on Boehmians and finally end with certain theorems for continuity conditions of the extended Sumudu transform and its inverse with respect to δ- and Δ-convergence. SpringerOpen 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30048/1/An%20estimate%20of%20Sumudu%20transforms%20for%20Boehmians.pdf Al-Omari, Shrideh Khalaf Qasem and Kilicman, Adem (2013) An estimate of Sumudu transforms for Boehmians. Advances in Difference Equations, 2013. art. no. 77. pp. 1-10. ISSN 1687-1839; ESSN: 1687-1847 http://www.advancesindifferenceequations.com/content/2013/March/2013 10.1186/1687-1847-2013-77 |
| spellingShingle | Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem An estimate of Sumudu transforms for Boehmians |
| title | An estimate of Sumudu transforms for Boehmians |
| title_full | An estimate of Sumudu transforms for Boehmians |
| title_fullStr | An estimate of Sumudu transforms for Boehmians |
| title_full_unstemmed | An estimate of Sumudu transforms for Boehmians |
| title_short | An estimate of Sumudu transforms for Boehmians |
| title_sort | estimate of sumudu transforms for boehmians |
| url | http://psasir.upm.edu.my/id/eprint/30048/ http://psasir.upm.edu.my/id/eprint/30048/ http://psasir.upm.edu.my/id/eprint/30048/ http://psasir.upm.edu.my/id/eprint/30048/1/An%20estimate%20of%20Sumudu%20transforms%20for%20Boehmians.pdf |