Fractional Hermite-Hadamard Type Inequalities for Functions Whose Second Derivative are $(s,r)$-Convex in the Second Sense
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 172
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper the authors introduce a new class of convex functions called $(s,r)$-convex functions in the second sense and establish some new Hermite-Hadamard type inequalities involving Riemann-Liouville integral operator.
Classification :
26D15 26D20, 39A12
Keywords: Hermite-Hadamard inequality, convex functions, Riemann-Liouville integral operator
Keywords: Hermite-Hadamard inequality, convex functions, Riemann-Liouville integral operator
K. Boukerrioua; T. Chiheb; B. Meftah. Fractional Hermite-Hadamard Type Inequalities for Functions Whose Second Derivative are $(s,r)$-Convex in the Second Sense. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 172 . http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a3/
@article{KJM_2016_40_2_a3,
author = {K. Boukerrioua and T. Chiheb and B. Meftah},
title = {Fractional {Hermite-Hadamard} {Type} {Inequalities} for {Functions} {Whose} {Second} {Derivative} are $(s,r)${-Convex} in the {Second} {Sense}},
journal = {Kragujevac Journal of Mathematics},
pages = {172 },
year = {2016},
volume = {40},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a3/}
}
TY - JOUR AU - K. Boukerrioua AU - T. Chiheb AU - B. Meftah TI - Fractional Hermite-Hadamard Type Inequalities for Functions Whose Second Derivative are $(s,r)$-Convex in the Second Sense JO - Kragujevac Journal of Mathematics PY - 2016 SP - 172 VL - 40 IS - 2 UR - http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a3/ LA - en ID - KJM_2016_40_2_a3 ER -
%0 Journal Article %A K. Boukerrioua %A T. Chiheb %A B. Meftah %T Fractional Hermite-Hadamard Type Inequalities for Functions Whose Second Derivative are $(s,r)$-Convex in the Second Sense %J Kragujevac Journal of Mathematics %D 2016 %P 172 %V 40 %N 2 %U http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a3/ %G en %F KJM_2016_40_2_a3