Continuous refinements of some Jensen-type inequalities via strong convexity with applications
DOI10.1186/s13660-022-02801-4zbMath1506.26018OpenAlexW4281288664MaRDI QIDQ2157751
Lars-Erik Persson, Sanja Varošanec, Ljudmila I. Nikolova
Publication date: 22 July 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-022-02801-4
inequalitiesconvexityrefinementsstrong convexitycontinuous formsmeasure spacesPopoviciu-type inequalities
Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Spaces of measures (46E27) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (1)
Cites Work
- Refinement of the Jensen integral inequality
- Cyclic refinements of the discrete and integral form of Jensen's inequality with applications
- Continuous forms of classical inequalities
- Characterizations of inner product spaces by strongly convex functions
- Remarks on strongly convex functions
- Convex functions, partial orderings, and statistical applications
- A new look at classical inequalities involving Banach lattice norms
- Fejér and Hermite-Hadamard type inequalities for \(N\)-quasiconvex functions
- New refinement of the Jensen inequality associated to certain functions with applications
- Refinements of the integral form of Jensen's and the Lah-Ribarič inequalities and applications for Csiszár divergence
- Refinement of Hardy's inequalities via superquadratic and subquadratic functions
- Some new Hermite-Hadamard and Fejer type inequalities without convexity/concavity
- Continuous forms of Gauss-Pólya type inequalities involving derivatives
- Convex functions and their applications. A contemporary approach
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Continuous refinements of some Jensen-type inequalities via strong convexity with applications