On a Difference of Jensen Inequality and its Applications to Mean Divergence Measures
| dc.creator | Taneja, Inder Jeet | |
| dc.date | 2005-01-19 | |
| dc.date.accessioned | 2026-07-07T08:06:40Z | |
| dc.date.available | 2026-07-07T08:06:40Z | |
| dc.description | In this paper we have considered a difference of Jensen's inequality for convex functions and proved some of its properties. In particular, we have obtained results for Csiszár \cite{csi1} $f-$divergence. A result is established that allow us to compare two measures under certain conditions. By the application of this result we have obtained a new inequality for the well known means such as arithmetic, geometric and harmonic. Some divergence measures based on these means are also defined. | |
| dc.description | This paper is a part of author's chapter to appear in 'Advances in Imaging and Electron Physics', 2005, Elsevier Publication | |
| dc.identifier | https://arxiv.org/abs/math/0501302 | |
| dc.identifier | http://arxiv.org/abs/math/0501302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130684 | |
| dc.subject | Statistics Theory | |
| dc.title | On a Difference of Jensen Inequality and its Applications to Mean Divergence Measures | |
| dc.type | text |