On Some Inequalities of Uncertainty Principles Type in Quantum Calculus | Zendy

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

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On Some Inequalities of Uncertainty Principles Type in Quantum Calculus

Author(s) -

Ahmed Fitouhi,

Néji Bettaibi,

Rym H. Bettaieb,

Wafa Binous

Publication year - 2008

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2008/465909

Subject(s) - mathematics , fourier transform , uncertainty principle , bessel function , type (biology) , sine and cosine transforms , sine , pure mathematics , mathematical analysis , calculus (dental) , algebra over a field , fourier analysis , quantum , fractional fourier transform , quantum mechanics , physics , geometry , medicine , ecology , dentistry , biology

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

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