Abstract
In this paper, we prove some new dynamic inequalities involving
C
-
monotonic functions on time scales
.
The main results will be proved by employing Hölder’s inequality, integration by parts, and a chain rule on time scales. As a special case when
T
=
R
,
our results contain the continuous inequalities proved by Heinig, Maligranda, Pečarić, Perić, and Persson and when
T
=
N
, the results to the best of the authors’ knowledge are essentially new.