Sherman's and related inequalities with applications in information theory
From MaRDI portal
Publication:824544
DOI10.1186/s13660-018-1692-0zbMath1497.26028OpenAlexW2805897609WikidataQ55480013 ScholiaQ55480013MaRDI QIDQ824544
Publication date: 15 December 2021
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-018-1692-0
entropyGreen functioninformation theoryJensen inequalityAbel-Gontscharoff interpolating polynomialSherman theorem\(n\)-convex functionZipf-Mandelbrot lawmajorization inequality\(\varphi\)-divergence
Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Other analytical inequalities (26D20)
Related Items
Sherman's functional, its properties with applications for f-divergence measure, The Hardy-Littlewood-Pólya inequality of majorization in the context of \(\omega\)-\(\mathbf{m}\)-star-convex functions, Hermite-Hadamard, Fejer and Sherman type inequalities for generalizations of superquadratic and convex functions, A note on the positivity of the even degree complete homogeneous symmetric polynomials, More accurate majorization inequalities obtained via superquadraticity and convexity with application to entropies, Refinements of the integral form of Jensen's and the Lah-Ribarič inequalities and applications for Csiszár divergence, Sherman's operator inequality
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convex functions, partial orderings, and statistical applications
- A converse of the Jensen inequality for convex mappings of several variables and applications
- An inequality for logarithms and applications in information theory.
- Refinements of some bounds in information theory
- Improvements of some bounds on entropy measures in information theory
- On Information and Sufficiency
- On a Theorem of Hardy, Littlewood, Polya, and Blackwell
- Inequalities: theory of majorization and its applications
- On an inequality for the entropy of a probability distribution
- Beyond the Zipf-Mandelbrot law in quantitative linguistics
