Geodesic
Some Refinements of Hermite-Hadamard Inequality and an Open Problem
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 349

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We presented here a refinement of Hermite-Hadamard inequality as a linear combination of its end-points. The problem of best possible constants is closely connected with well known Simpson's rule in numerical integration. It is solved here for a wide class of convex functions, but not in general. Some supplementary results are also given.
Classification : 26D07 26D15
Keywords: Hermite-Hadamard integral inequality, differentiable function, convex function 
@article{KJM_2018_42_3_a2,
     author = {Slavko Simi\'c},
     title = {Some {Refinements} of {Hermite-Hadamard} {Inequality} and an {Open} {Problem}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {349 },
     publisher = {mathdoc},
     volume = {42},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a2/}
}
TY  - JOUR
AU  - Slavko Simić
TI  - Some Refinements of Hermite-Hadamard Inequality and an Open Problem
JO  - Kragujevac Journal of Mathematics
PY  - 2018
SP  - 349 
VL  - 42
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a2/
LA  - en
ID  - KJM_2018_42_3_a2
ER  - 
%0 Journal Article
%A Slavko Simić
%T Some Refinements of Hermite-Hadamard Inequality and an Open Problem
%J Kragujevac Journal of Mathematics
%D 2018
%P 349 
%V 42
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a2/
%G en
%F KJM_2018_42_3_a2
Slavko Simić. Some Refinements of Hermite-Hadamard Inequality and an Open Problem. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 349 . http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a2/