On Some Inequalities of Uncertainty Principles Type in Quantum Calculus

Ahmed Fitouhi; Néji Bettaibi; Rym H. Bettaieb; Wafa Binous

doi:10.1155/2008/465909

International Journal of Mathematics and Mathematical Sciences (Jan 2008)

On Some Inequalities of Uncertainty Principles Type in Quantum Calculus

Ahmed Fitouhi,
Néji Bettaibi,
Rym H. Bettaieb,
Wafa Binous

Affiliations

Ahmed Fitouhi: Faculté des Sciences de Tunis, Université de Tunis El Manar, 1060 Tunis, Tunisia
Néji Bettaibi: Institut Préparatoire aux Études d'Ingénieur de Monastir, Université de Monastir, 5000 Monastir, Tunisia
Rym H. Bettaieb: Institut Préparatoire aux Études d'Ingénieur de Monastir, Université de Monastir, 5000 Monastir, Tunisia
Wafa Binous: Institut de Biotechnologie, Université de Jendouba, 9000 Béja, Tunisia

DOI: https://doi.org/10.1155/2008/465909
Journal volume & issue: Vol. 2008

Abstract

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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.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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