New bounds of cyclic Jensen's differences via weighted Hadamard inequalities with applications
DOI10.1515/ms-2023-0105OpenAlexW4389893991MaRDI QIDQ6180430
Ɖilda Pečarić, Tahir Rasheed, Saad Ihsan Butt, Josip E. Pečarić
Publication date: 19 January 2024
Published in: Mathematica Slovaca (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ms-2023-0105
Green functionsKullback-Leibler distanceweighted Hermite-Hadamard inequalitycyclic Jensen's inequalityShannon-EntropyZipf and hybrid Zipf-Mandelbrot entropy
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A method to refine the discrete Jensen's inequality for convex and mid-convex functions
- New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity
- Refinements of results about weighted mixed symmetric means and related Cauchy means
- On \(\log\)-convexity for differences of mixed symmetric means
- On the weighted generalization of the Hermite-Hadamard inequality and its applications
- Convex functions, partial orderings, and statistical applications
- Uniform treatment of Jensen's inequality by Montgomery identity
- A parameter-dependent refinement of the discrete Jensen's inequality for convex and mid-convex functions
- Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
- Some properties of Zipf-Mandelbrot law and Hurwitz ζ-function
- Cyclic refinements of the discrete Hölder's inequality with applications
This page was built for publication: New bounds of cyclic Jensen's differences via weighted Hadamard inequalities with applications
