Inequalities for Convex Functions and Isotonic Sublinear Functionals
Open Access
- 20 January 2024
- journal article
- research article
- Published by Springer Nature in Results in Mathematics
- Vol. 79 (2) , 1-12
Abstract
In this paper, versions of the famous Jensen inequality for sublinear isotonic functionals are proved. The obtained results generalize classic Jessen’s and McShane’s inequalities. Applications to generalized means and to Hölder’s and Minkowski’s inequalities are also given.Keywords
This publication has 8 references indexed in Scilit:
- Necessary and sufficient conditions for the validity of Jensen’s inequalityArchiv der Mathematik, 2013
- A Survey on Jessen’s Type Inequalities for Positive Functionals2012
- Banach limit and some new spaces of double sequencesTURKISH JOURNAL OF MATHEMATICS, 2012
- Characterization of convexifiable functionsOptimization, 2006
- Convex Analysis in General Vector Spaces2002
- On an inequality of SeitzPeriodica Mathematica Hungarica, 1995
- Jensen’s inequalityBulletin of the American Mathematical Society, 1937
- Sur les fonctions convexes et les inégalités entre les valeurs moyennesActa Mathematica, 1906