Generalized cyclic Jensen and information inequalities

DOI10.1016/j.chaos.2022.112602OpenAlexW4294612054MaRDI QIDQ2111306

Tahir Rasheed, Đilda Pečarić, Saad Ihsan Butt, Josip E. Pečarić

Publication date: 13 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112602

zbMATH Keywords

entropy3-convex functioncyclic-divergence functionalcyclic-Kullback-Leibler distance

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Information theory (general) (94A15)

Related Items (1)

Hermite-Hadamard type inequalities for multiplicatively harmonic convex functions

Cites Work

• Cyclic refinements of the discrete and integral form of Jensen's inequality with applications
• Minimum Hellinger distance estimates for parametric models
• On Zipf-Mandelbrot entropy
• Association of Jensen's inequality for \(s\)-convex function with Csiszár divergence
• Several new cyclic Jensen type inequalities and their applications
• Rényi entropy and divergence for VARFIMA processes based on characteristic and impulse response functions
• New entropy bounds via uniformly convex functions
• Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
• Cyclic Refinements of the Different Versions of Operator Jensen's Inequality
• Refinement of Jensen's inequality with applications to cyclic mixed symmetric means and Cauchy means
• Converse Jensen inequality for strongly convex set-valued maps
• Some properties of Zipf-Mandelbrot law and Hurwitz ζ-function
• Generalizations of cyclic refinements of Jensen's inequality by Lidstone's polynomial with applications in information theory
• Zipf's law, power laws and maximum entropy
• New bounds for Shannon, relative and Mandelbrot entropies via Abel-Gontscharoff interpolating polynomial
• Generalization of Levinson's inequality
• Improved Jensen's inequality
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• Shannon entropy: a rigorous notion at the crossroads between probability, information theory, dynamical systems and statistical physics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized cyclic Jensen and information inequalities