Canavati Fractional and Other Approximation of Csiszar’s f–Divergence

George A. Anastassiou ()
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George A. Anastassiou: University of Memphis, Department Mathematical Sciences

Chapter 22 in Fractional Differentiation Inequalities, 2009, pp 563-576 from Springer

Abstract: Here are presented various sharp and nearly optimal probabilistic inequalities that give best or nearly best estimates for the Csiszar’s f -divergence. These involve Canavati fractional and ordinary derivatives of the directing function f. Also given are lower bounds for the Csiszar’s distance. The Csiszar’s discrimination is the most essential and general measure for the comparison between two probability measures. This treatment is based on [28].

Keywords: Probability Measure; Convex Function; Fractional Derivative; Operational Calculus; Taylor Formula (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-98128-4_22

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DOI: 10.1007/978-0-387-98128-4_22

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