Refinements of the integral Jensen's inequality generated by finite or infinite permutations
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Publication:2072765
DOI10.1186/s13660-021-02545-7zbMath1504.26052OpenAlexW3165208831MaRDI QIDQ2072765
Publication date: 26 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-021-02545-7
refinements\(f\)-divergencesFejér inequalityquasi-arithmetic meansdiscrete and integral Jensen inequalities
Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)
Related Items (3)
Extensions of recent combinatorial refinements of discrete and integral Jensen inequalities ⋮ Unnamed Item ⋮ Some notes on Jensen-Mercer's type inequalities; extensions and refinements with applications
Cites Work
- Refinement of the Jensen integral inequality
- Cyclic refinements of the discrete and integral form of Jensen's inequality with applications
- A refinement of the integral form of Jensen's inequality
- Theory of statistical inference and information. Transl. from the Slovak by the author
- New refinements of the discrete Jensen's inequality generated by finite or infinite permutations
- Jensen's inequality for a convex vector-valued function on an infinite-dimensional space
- Refinements of Fejér's inequality for convex functions
- Refinement of Jensen's inequality with applications to cyclic mixed symmetric means and Cauchy means
- On Divergences and Informations in Statistics and Information Theory
- A refinement and an exact equality condition for the basic inequality of f-divergences
- Convex Analysis
- Convex functions and their applications. A contemporary approach
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