Geodesic
Refining the Superadditivity Inequality for Weighted Jensen and Mercer Functionals
Journal of convex analysis, Tome 31 (2024) no. 1, pp. 279-287
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

The Jensen and Mercer functionals viewed as functions of their weighted vectors are superadditive as showed by S. S. Dragomir, J. E. Pecaric and L. E. Persson [Properties of some functionals related to Jensen's inequality, Acta Math. Hung. 70/1-2 (1996) 129--143] and by M. Krnic, N. Lovricevic and J. Pecaric [On some properties of Jensen-Mercer's functional, J. Math. Inequalities 6/1 (2012) 125--139]. In the present paper we derive refinements of the corresponding superadditivity DPP/KLP inequalities. We establish Jensen and Mercer inequalities of second type. We introduce a preorder on the set of weighted vectors and show the monotonicity with respect to this preorder of a functional related to Jensen/Mercer inequality.
Classification : 26D15, 26A51, 52A41
Mots-clés : Convex function, Jensen inequality, Mercer inequality, superadditive function, preorder, DPP/KLP inequalities, positive homogeneous function, monotone functional 
@article{JCA_2024_31_1_JCA_2024_31_1_a16,
     author = {M. Niezgoda},
     title = {Refining the {Superadditivity} {Inequality} for {Weighted} {Jensen} and {Mercer} {Functionals}},
     journal = {Journal of convex analysis},
     pages = {279--287},
     year = {2024},
     volume = {31},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a16/}
}
TY  - JOUR
AU  - M. Niezgoda
TI  - Refining the Superadditivity Inequality for Weighted Jensen and Mercer Functionals
JO  - Journal of convex analysis
PY  - 2024
SP  - 279
EP  - 287
VL  - 31
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a16/
ID  - JCA_2024_31_1_JCA_2024_31_1_a16
ER  - 
%0 Journal Article
%A M. Niezgoda
%T Refining the Superadditivity Inequality for Weighted Jensen and Mercer Functionals
%J Journal of convex analysis
%D 2024
%P 279-287
%V 31
%N 1
%U http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a16/
%F JCA_2024_31_1_JCA_2024_31_1_a16
M. Niezgoda. Refining the Superadditivity Inequality for Weighted Jensen and Mercer Functionals. Journal of convex analysis, Tome 31 (2024) no. 1, pp. 279-287. http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a16/