Synchronous sequences and inequalities for convex functions

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摘要

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.

论文关键词：Chebyshev type inequality,Majorization type inequality,Synchronous sequences,Convex function

论文评审过程：Available online 6 October 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.09.037