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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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},
     journal = {Kragujevac Journal of Mathematics},
     pages = {125 },
     year = {2014},
     volume = {38},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2014_38_1_a8/}
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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/