In this paper, we give many refinements and generalizations of Hardy-type inequalities on time scales for convex functions, nonnegative convex functions, monotone convex functions and nonnegative monotone convex functions. Further we give refinements for power and exponential functions. Finally we present several examples of these inequalities on different time scales.
"Refinements of Hardy-Type Inequalities on Time Scales." Commun. Math. Anal. 17 (1) 67 - 87, 2014.