학술논문

Cauchy Means of the Popoviciu Type.
Document Type
Article
Source
Journal of Inequalities & Applications. 2009, Vol. 2009, Special section p1-16. 16p.
Subject
*CAUCHY integrals
*MATHEMATICAL inequalities
*MEAN value theorems
*CONVEX domains
*MONOTONIC functions
Language
ISSN
1025-5834
Abstract
We discuss log-convexity for the differences of the Popoviciu inequalities and introduce some mean value theorems and related results. Also we give the Cauchy means of the Popoviciu type and we show that these means are monotonic. [ABSTRACT FROM AUTHOR]