Inequalities and majorisations for the Riemann-Stieltjes integral on time scales

Abstract

We prove dynamic inequalities of majorisation type for functions on time scales. The results are obtained using the notion of Riemann-Stieltjes delta integral and give a generalization of [App. Math. Let. 22 (2009), no. 3, 416--421] to time scales.Comment: Submitted 30-Apr-2009; revised 15-Feb-2010; accepted 24-Mar-2010; for publication in Math. Inequal. App