On Some Inequalities of Uncertainty Principles Type in Quantum Calculus

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