Some inequalities for f-divergence measures generated by 2n-convex functions

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Dragomir, Sever S and Koumandos, Stamatis (2010) Some inequalities for f-divergence measures generated by 2n-convex functions. Acta Universitatis Szegediensis. Acta Scientiarum Mathematicarum, 76 (1-2). pp. 71-86. ISSN 0001-6969

Abstract

A double Jensen type inequality for 2n-convex functions is obtained and applied to establish upper and lower bounds for the f-divergence measure in Information Theory. Some particular inequalities of interest are stated as well.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/7392
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0102 Applied Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID19730. f-divergence measure, 2n-convexity, convex functions, absolutely monotonic functions, completely monotonic functions, analytic inequalities
Citations in Scopus 2 - View on Scopus
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