New Dynamic Inequalities for Decreasing Functions and Theorems of Higher Integrability
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@Article{AAM-34-165,
author = {Saker , S.H.O’Regan , D.Osman , M.M. and Agarwal , R.P.},
title = {New Dynamic Inequalities for Decreasing Functions and Theorems of Higher Integrability},
journal = {Annals of Applied Mathematics},
year = {2022},
volume = {34},
number = {2},
pages = {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.
}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20570.html} }
TY - JOUR
T1 - New Dynamic Inequalities for Decreasing Functions and Theorems of Higher Integrability
AU - Saker , S.H.
AU - O’Regan , D.
AU - Osman , M.M.
AU - Agarwal , R.P.
JO - Annals of Applied Mathematics
VL - 2
SP - 165
EP - 177
PY - 2022
DA - 2022/06
SN - 34
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20570.html
KW - reverse Hölder’s inequality, Gehring class, higher integrability,
Hardy-Littlewood-Pόlya inequality, time scales.
AB -
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.
S.H. Saker, D. O’Regan, M.M. Osman & R.P. Agarwal. (2022). New Dynamic Inequalities for Decreasing Functions and Theorems of Higher Integrability.
Annals of Applied Mathematics. 34 (2).
165-177.
doi:
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