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Sharp bounds for the Jensen divergence with applications

Authors :
Nicoleta Dragomir
David Sherwell
Sever S Dragomir
Source :
Miskolc Mathematical Notes. 15:63
Publication Year :
2014
Publisher :
Mathematical Notes, 2014.

Abstract

In this paper we provide sharp bounds for the Jensen divergence generated by different classes of functions including functions of bounded variation, absolutely continuous, Lipschitz continuous, convex functions and differentiable functions whose derivatives enjoy various prop- erties as mentioned above. The bounds are expressed in terms of known and simpler diver- gence measures that are of importance in various applications such as the analysis of diversity as between and within populations and to cluster analysis. 2010 Mathematics Subject Classification: 26D15; 94017

Details

ISSN :
17872413 and 17872405
Volume :
15
Database :
OpenAIRE
Journal :
Miskolc Mathematical Notes
Accession number :
edsair.doi...........45f4523ba11020f5398fb8609c4cfb45