Several new cyclic Jensen type inequalities and their applications
DOI10.1186/s13660-019-2191-7zbMath1499.26080OpenAlexW2971700607MaRDI QIDQ2068010
Saad Ihsan Butt, Đilda Pečarić, Nasir Mehmood, Josip E. Pečarić
Publication date: 19 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-019-2191-7
Kullback-Leibler divergenceJensen inequalityShannon entropyTaylor formulahigher order convexityZipf-Mandelbrot entropynew Green functions
Measures of information, entropy (94A17) Inequalities involving derivatives and differential and integral operators (26D10) Other analytical inequalities (26D20)
Related Items (1)
Cites Work
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- Generalization of Popoviciu-type inequalities via Fink identity
- Cyclic refinements of the discrete and integral form of Jensen's inequality with applications
- New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity
- Convex functions, partial orderings, and statistical applications
- On Zipf-Mandelbrot entropy
- Around Jensen's inequality for strongly convex functions
- Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
- Bounds for Shannon and Zipf-Mandelbrot entropies
- Linear operators inequality for $n$-convex functions at a point
- Some properties of Zipf-Mandelbrot law and Hurwitz ζ-function
- On Jensen’s type inequalities via generalized majorization inequalities
- Generalization of Levinson'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
- On Information and Sufficiency
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