Year: 2018
Author: S.H. Saker, D. O’Regan, M.M. Osman, R.P. Agarwal
Annals of Applied Mathematics, Vol. 34 (2018), Iss. 2 : pp. 165–177
Abstract
In this paper we establish some new dynamic inequalities on time scales which contain in particular generalizations of integral and discrete inequalities due to Hardy, Littlewood, Pόlya, D’Apuzzo, Sbordone and Popoli. We also apply these inequalities to prove a higher integrability theorem for decreasing functions on time scales.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2018-AAM-20570
Annals of Applied Mathematics, Vol. 34 (2018), Iss. 2 : pp. 165–177
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: reverse Hölder’s inequality Gehring class higher integrability Hardy-Littlewood-Pόlya inequality time scales.