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: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/465909 |
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| _version_ | 1832554849272594432 |
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| author | Ahmed Fitouhi Néji Bettaibi Rym H. Bettaieb Wafa Binous |
| author_facet | Ahmed Fitouhi Néji Bettaibi Rym H. Bettaieb Wafa Binous |
| author_sort | Ahmed Fitouhi |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-8ee52a89c65e413ca084e45fce8f933d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8ee52a89c65e413ca084e45fce8f933d2025-02-03T05:50:28ZengWileyInternational 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 |
| 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 |
| title | 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_short | On Some Inequalities of Uncertainty Principles Type in Quantum Calculus |
| title_sort | on some inequalities of uncertainty principles type in quantum calculus |
| url | http://dx.doi.org/10.1155/2008/465909 |
| work_keys_str_mv | AT ahmedfitouhi onsomeinequalitiesofuncertaintyprinciplestypeinquantumcalculus AT nejibettaibi onsomeinequalitiesofuncertaintyprinciplestypeinquantumcalculus AT rymhbettaieb onsomeinequalitiesofuncertaintyprinciplestypeinquantumcalculus AT wafabinous onsomeinequalitiesofuncertaintyprinciplestypeinquantumcalculus |