On Some Inequalities of Uncertainty Principles Type in Quantum Calculus

On Some Inequalities of Uncertainty Principles Type in Quantum Calculus

The aim of this paper is to generalize the 𝑞-Heisenberg uncertainty principles studied by Bettaibi et al. (2007), to state local uncertainty principles for the 𝑞-Fourier-cosine, the 𝑞-Fourier-sine, and the 𝑞-Bessel-Fourier transforms, then to provide an inequality of Heisenberg-Weyl-type for the 𝑞...

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Main Authors: Ahmed Fitouhi, Néji Bettaibi, Rym H. Bettaieb, Wafa Binous
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2008/465909
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spelling doaj-8ee52a89c65e413ca084e45fce8f933d2020-11-24T22:39:11ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/465909465909On Some Inequalities of Uncertainty Principles Type in Quantum CalculusAhmed Fitouhi0Néji Bettaibi1Rym H. Bettaieb2Wafa Binous3Faculté des Sciences de Tunis, Université de Tunis El Manar, 1060 Tunis, TunisiaInstitut Préparatoire aux Études d'Ingénieur de Monastir, Université de Monastir, 5000 Monastir, TunisiaInstitut Préparatoire aux Études d'Ingénieur de Monastir, Université de Monastir, 5000 Monastir, TunisiaInstitut de Biotechnologie, Université de Jendouba, 9000 Béja, TunisiaThe aim of this paper is to generalize the 𝑞-Heisenberg uncertainty principles studied by Bettaibi et al. (2007), to state local uncertainty principles for the 𝑞-Fourier-cosine, the 𝑞-Fourier-sine, and the 𝑞-Bessel-Fourier transforms, then to provide an inequality of Heisenberg-Weyl-type for the 𝑞-Bessel-Fourier transform.http://dx.doi.org/10.1155/2008/465909
collection DOAJ
language English
format Article
sources DOAJ
author Ahmed Fitouhi
Néji Bettaibi
Rym H. Bettaieb
Wafa Binous
spellingShingle Ahmed Fitouhi
Néji Bettaibi
Rym H. Bettaieb
Wafa Binous
On Some Inequalities of Uncertainty Principles Type in Quantum Calculus
International Journal of Mathematics and Mathematical Sciences
author_facet Ahmed Fitouhi
Néji Bettaibi
Rym H. Bettaieb
Wafa Binous
author_sort Ahmed Fitouhi
title On Some Inequalities of Uncertainty Principles Type in Quantum Calculus
title_short On Some Inequalities of Uncertainty Principles Type in Quantum Calculus
title_full On Some Inequalities of Uncertainty Principles Type in Quantum Calculus
title_fullStr On Some Inequalities of Uncertainty Principles Type in Quantum Calculus
title_full_unstemmed On Some Inequalities of Uncertainty Principles Type in Quantum Calculus
title_sort on some inequalities of uncertainty principles type in quantum calculus
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2008-01-01
description The aim of this paper is to generalize the 𝑞-Heisenberg uncertainty principles studied by Bettaibi et al. (2007), to state local uncertainty principles for the 𝑞-Fourier-cosine, the 𝑞-Fourier-sine, and the 𝑞-Bessel-Fourier transforms, then to provide an inequality of Heisenberg-Weyl-type for the 𝑞-Bessel-Fourier transform.
url http://dx.doi.org/10.1155/2008/465909
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AT rymhbettaieb onsomeinequalitiesofuncertaintyprinciplestypeinquantumcalculus
AT wafabinous onsomeinequalitiesofuncertaintyprinciplestypeinquantumcalculus
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