Jensen-Ostrowski type inequalities and applications for f-divergence measures

  title={Jensen-Ostrowski type inequalities and applications for f-divergence measures},
  author={Pietro Cerone and Sever Silvestru Dragomir and Eder Kikianty},
  journal={Applied Mathematics and Computation},
In this paper, we provide inequalities of Jensen-Ostrowski type, by investigating the magnitude of the quantity ∫ Ω (f ◦ g) dμ− f(ζ)− ∫ Ω (g − ζ)f ′ ◦ g dμ+ 1 2 λ ∫ Ω (g − ζ) dμ, for various assumptions on the absolutely continuous function f : [a, b] → C, ζ ∈ [a, b], λ ∈ C and a μ-measurable function g on Ω. Special cases are considered to provide some inequalities of Jensen type, as well as Ostrowski type, in measure-theoretic (probabilistic) form. Application for f -divergence measure in… CONTINUE READING

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 20 references

On a measure of divergence between two statistical populations defined by their probability distributions

  • A. Bhattacharyya
  • Bull. Calcutta Math. Soc.,
  • 1943
Highly Influential
4 Excerpts

Jensen and Ostrowski Type Inequalities for General Lebesgue Integral with Applications

  • S. S. Dragomir
  • RGMIA Res. Rep. Coll
  • 2014
Highly Influential
3 Excerpts

Reverses of the Jensen inequality in terms of first derivative and applications

  • S. S. Dragomir
  • Preprint RGMIA Res. Rep. Coll
  • 2011
2 Excerpts

An inequality of Ostrowski type for mappings whose second derivatives belong to L1(a, b) and applications

  • P. Cerone, S. S. Dragomir, J. Roumeliotis
  • Honam Math. J
  • 1999
1 Excerpt

Inequalities for Functions and Their Integrals and Derivatives

  • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
  • Kluwer Academic,
  • 1994
1 Excerpt

Über die Absolutabweichung einer differentienbaren Funktionen von ihren Integralmittelwert , Comment

  • A. Ostrowski
  • Inequalities for Functions and Their Integrals…
  • 1994

Convex Functions, Partial Orderings and Statistical Applications

  • J. E. Pečarić, F. Proschan, Y. L. Tong
  • Mathematics in Science and Engineering,
  • 1992
1 Excerpt

Similar Papers

Loading similar papers…