Synchronous sequences and inequalities for convex functions.

In this paper, we derive discrete inequalities of the majorization type for convex functions by using Chebyshev type inequalities for synchronous sequences (cf. Otachel, 2011). Thus, some of the related results from Dragomir (2004) and Niezgoda (2008) are unified and extended. Applications for particular convex functions are given. [ABSTRACT FROM AUTHOR]