Uncertainty Principles for the Fourier Transforms in Quantum Calculus
  Some properties of the $q$-Fourier-sine transform are studied and   $q$-analogues of the Heisenberg uncertainty principle is derived for the $q$-Fourier-cosine transform studied in \cite{FB} and for the $q$-Fourier-sine transform. 
Neji Bettaibi, Ahmed Fitouhi, Wafa Binous