On Some Inequalities of Uncertainty Principles Type in Quantum Calculus
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/465909 |
| Summary: | 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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| ISSN: | 0161-1712 1687-0425 |