On Hardy’s inequality for symmetric integral transforms and analogous

Ahmed Fitouhi; Néji Bettaibi; Rym H. Bettaieb

doi:10.1016/j.amc.2007.08.040

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On Hardy’s inequality for symmetric integral transforms and analogous

Journal article

Peer reviewed

On Hardy’s inequality for symmetric integral transforms and analogous

Ahmed Fitouhi, Néji Bettaibi and Rym H. Bettaieb

Applied mathematics and computation, Vol.198(1), pp.346-354

15/04/2008

DOI: https://doi.org/10.1016/j.amc.2007.08.040

Abstract

Hardy’s inequality

Integral transforms

q-Integral transforms

In this paper, we give a generalization of Hardy’s theorem for a class of symmetric transforms in both classical and Quantum calculus. As applications, we give q-analogues of Hardy’s theorem for the q-Fourier-cosine, q-Bessel Fourier and q-Dunkl transforms.

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Title: On Hardy’s inequality for symmetric integral transforms and analogous
Creators - without role: Ahmed Fitouhi - Tunis University
Néji Bettaibi - Institut Préparatoire aux Études d'Ingénieurs de Monastir
Rym H. Bettaieb - Institut Préparatoire aux Études d'Ingénieurs de Monastir
Publication Details: Applied mathematics and computation, Vol.198(1), pp.346-354
Publisher: Elsevier Inc
Identifiers: 9920390008331
Academic Unit: King Faisal University; Qassim University
Language: English
Resource Type: Journal article