Geodesic
Some New Hermite-Hadamard Type Inequalities for Functions whose Higher Order Partial Derivatives are Co-ordinated $s$-convex
Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 125 .

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 we point out some inequalities of Hermite-Hadamard type for double integrals of functions whose partial derivatives of higher order are co-ordinated $s$-convex in the second sense. Our established results generalize the Hermite-Hadamard type inequalities established for co-ordinated $s$-convex functions and refine those results established for differentiable functions whose partial derivatives of higher order are co-ordinated convex proved in recent literature.
Classification : 26A33 26A51 26D07 26D10 26D15
Keywords: Convex function, Hermite-Hadamard type inequality, Co-ordinated convex function, $s$-convex function, Power-mean integral inequality 
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     author = {Muhammad Amer Latif},
     title = {Some {New} {Hermite-Hadamard} {Type} {Inequalities} for {Functions} whose {Higher} {Order} {Partial} {Derivatives} are {Co-ordinated} $s$-convex},
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Muhammad Amer Latif. Some New Hermite-Hadamard Type Inequalities for Functions whose Higher Order Partial Derivatives are Co-ordinated $s$-convex. Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 125 . http://geodesic.mathdoc.fr/item/KJM_2014_38_1_a8/