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 - <p style="text-align: justify;">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.</p>