On some inequalities of uncertainty principles type in quantum calculus
type: Item
instance of: scholarly article
title: On some inequalities of uncertainty principles type in quantum calculus
zbMATH Open document ID: 1152.33313
DOI: 10.1155/2008/465909
author: Ahmed Fitouhi
author: Néji Bettaibi
author: Rym Hasna Bettaieb
author: Wafa Binous
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2008-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/54875
review text: Summary: The aim of this paper is to generalize the \(q\)-Heisenberg uncertainty principles studied bythe authors in an earlier paper 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.
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 5313299
Wikidata QID: Q58644772
MaRDI profile type: Publication
OpenAlex ID: W2074622378
cites work: The uncertainty principle: A mathematical survey
cites work: Sharp local uncertainty inequalities
cites work: On q-Analogues of the Fourier and Hankel Transforms
cites work: Inequalities and local uncertainty principles
cites work: The Mellin transform in quantum calculus
cites work: The \textit{q-j}\(_\alpha\) Bessel function
description: scientific article; zbMATH DE number 5313299