Refinements of Jensen's inequality via majorization results with applications in the information theory
From MaRDI portal
Publication:2666406
DOI10.1155/2021/1951799zbMath1477.26031OpenAlexW3194917076MaRDI QIDQ2666406
Sajid Iqbal, Hidayat Ullah, Muhammad Adil Khan, Shan-He Wu, Yong-Ping Deng
Publication date: 22 November 2021
Published in: Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/1951799
Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Mathematical Theory of Communication
- Further refinements of the Jensen inequalities based upon samples with repetitions
- Majorizations and inequalities in matrix theory
- On Zipf-Mandelbrot entropy
- Majorization, ``useful Csiszár divergence and ``useful Zipf-Mandelbrot law
- On discrete Favard's and Berwald's inequalities
- Discrete majorization type inequalities for convex functions on rectangles
- Majorization theorems for strongly convex functions
- Association of Jensen's inequality for \(s\)-convex function with Csiszár divergence
- New bounds for soft margin estimator via concavity of Gaussian weighting function
- A new refinement of the Jensen inequality with applications in information theory
- Bounds for Shannon and Zipf-Mandelbrot entropies
- Improvement and generalization of some Jensen-Mercer-type inequalities
- Bounds for the normalised Jensen functional
- Generalization of majorization theorem
- Prediction and Entropy of Printed English
- Some Inequalities for (m, M)-Convex Mappings and Applications for the Csiszár Φ-Divergence in Information Theory
- New improvement of the converse Jensen inequality
- Some majorisation type discrete inequalities for convex functions
- Improved Jensen's inequality
- Inequalities
- On Information and Sufficiency
- Sharpening Jensen's Inequality
- Inequalities: theory of majorization and its applications
- Convex functions and their applications. A contemporary approach
This page was built for publication: Refinements of Jensen's inequality via majorization results with applications in the information theory
