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Volume 7, Issue 5, Article 171 |
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Inequalities in $q-$Fourier Analysis
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Authors: |
Lazhar Dhaouadi, Ahmed Fitouhi, J. El Kamel, |
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Keywords:
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Čebyev functional, Grüss inequality, Bessel, Beta and Zeta function bounds. |
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Date Received:
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17/04/06 |
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Date Accepted:
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28/07/06 |
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Subject Codes: |
Pri 26D15, 26D20; Sec 26D10.
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Editors: |
Hari M. Srivastava, |
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Abstract: |
In this paper we introduce the q-Bessel Fourier transform, the q-Bessel translation operator and the q-convolution product. We prove that the q- heat semigroup is contractive and we establish the q-analogue of Babenko inequalities associated to the q-Bessel Fourier transform. With applications and finally we enunciate a q-Bessel version of the central limit theorem.
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