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The main objective of this article is to establish some new refinements of Hermite–Hadamard type inequalities via coordinated preinvex functions and coordinated s-preinvex functions. These refinements involve k-Riemann–Liouville fractional integrals.
Some new refinements of Hermite–Hadamard type inequalities are obtained. These results involve some different types of fractional integrals. Special cases which are naturally included in the main results of the paper are also discussed.
The main objective of this paper is to extend the notion of harmonic h-convex functions on rectangle, which is called as two dimensional harmonic h-convex function. We obtain some new inequalities for two dimensional harmonic h-convex function. Several new and known special cases which are inherent in our main results are also discussed. Results obtained in this paper continue to hold for these cases.
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