Communications in Mathematical Analysis

Refinements of Hardy-Type Inequalities on Time Scales

R. Bibi, A. Nosheen, and J. Pecaric

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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.

Article information

Commun. Math. Anal., Volume 17, Number 1 (2014), 67-87.

First available in Project Euclid: 10 December 2014

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26D15: Inequalities for sums, series and integrals 26D20: Other analytical inequalities 26D99: None of the above, but in this section 26D99: None of the above, but in this section

Hardy-type inequalities time scales


Bibi, R.; Nosheen, A.; Pecaric, J. Refinements of Hardy-Type Inequalities on Time Scales. Commun. Math. Anal. 17 (2014), no. 1, 67--87.

Export citation