scientific article; zbMATH DE number 7104111
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Publication:5233677
zbMath1438.26085MaRDI QIDQ5233677
Khuram Ali Khan, Tasadduq Niaz, Đilda Pečarić, Josip E. Pečarić
Publication date: 12 September 2019
Full work available at URL: http://www.etamaths.com/index.php/ijaa/article/view/1961
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entropyJensen inequalityShannon entropyRényi divergence\(m\)-convex function\(f\)- divergenceTaylor interpolation
Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51)
Related Items (4)
Bounds for the Jensen gap in terms of power means with applications ⋮ Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional ⋮ Estimation of divergence measures on time scales via Taylor's polynomial and Green's function with applications in \(q\)-calculus ⋮ New entropic bounds on time scales via Hermite interpolating polynomial
Cites Work
- A method to refine the discrete Jensen's inequality for convex and mid-convex functions
- Zipf-Mandelbrot law, \(f\)-divergences and the Jensen-type interpolating inequalities
- Refinement of Jensen's inequality and estimation of \(f\)- and Rényi divergence via Montgomery identity
- Convex functions, partial orderings, and statistical applications
- New generalizations of Popoviciu type inequalities via new Green functions and Fink's identity
- On generalization of refinement of Jensen's inequality using Fink's identity and Abel-gontscharoff Green function
- Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
- Popoviciu type inequalities via Hermite's polynomial
- A refinement of the discrete Jensen's inequality
- On Information and Sufficiency
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