International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 465909, 13 pages
doi:10.1155/2008/465909
On some inequalities of uncertainty principles type in quantum calculus
Ahmed Fitouhi1
, Néji Bettaibi2
, Rym H. Bettaieb2
and Wafa Binous4
1Faculté des Sciences de Tunis, Université de Tunis El Manar, 1060 Tunis, Tunisia
2Institut Préparatoire aux Études d'Ingénieur de Monastir, Université de Monastir, 5000 Monastir, Tunisia
4Institut de Biotechnologie, Université de Jendouba, 9000 Béja, Tunisia
Abstract
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.