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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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Main Authors: Al-Omari, Shrideh Khalaf Qasem, Kilicman, Adem
Format: Article
Language:English
Published: SpringerOpen 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30048/1/An%20estimate%20of%20Sumudu%20transforms%20for%20Boehmians.pdf
http://psasir.upm.edu.my/id/eprint/30048/
http://www.advancesindifferenceequations.com/content/2013/March/2013
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Al-Omari, Shrideh Khalaf Qasem
Kilicman, Adem
spellingShingle Al-Omari, Shrideh Khalaf Qasem
Kilicman, Adem
An estimate of Sumudu transforms for Boehmians
author_facet Al-Omari, Shrideh Khalaf Qasem
Kilicman, Adem
author_sort Al-Omari, Shrideh Khalaf Qasem
title An estimate of Sumudu transforms for Boehmians
title_short 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_sort estimate of sumudu transforms for boehmians
publisher SpringerOpen
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30048/1/An%20estimate%20of%20Sumudu%20transforms%20for%20Boehmians.pdf
http://psasir.upm.edu.my/id/eprint/30048/
http://www.advancesindifferenceequations.com/content/2013/March/2013
_version_ 1651869041090887680
score 13.211869

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