On Some Inequalities of Uncertainty Principles Type in Quantum Calculus

Abstract

The aim of this paper is to generalize the q-Heisenberg uncertainty principles studied by , 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 qBessel-Fourier transform