Approximation of f-divergence measures by using two points Taylor's type representations with integral remainders

Authors

  • Silvestru Sever Dragomir Victoria University Melbourne, Victoria, Australia

DOI:

https://doi.org/10.31926/but.mif.2019.12.61.1.3

Keywords:

Taylor's formula, Power series, Logarithmic and exponential functions, f-divergence measures, Kullback-Leibler divergence, Hellinger discrimination, ϰ 2-divergence

Abstract

In this paper, we establish some approximations of the f-divergence measures by the use of two points Taylor's type representations with integral remainders. Some inequalities for particular instances of interest are provided as well.

Author Biography

Silvestru Sever Dragomir, Victoria University Melbourne, Victoria, Australia

Mathematics, College of Engineering & Science

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Published

2019-07-12

Issue

Vol. 12(61) No. 1 (2019)

Section

MATHEMATICS