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where f is a real continuous convex function on the finite interval [a, b]. If the function f is concave, then (1.1) holds in the reverse direction (see [19]). The Hermite-Hadamard inequality play an important role in nonlinear analysis and optimization. The above double inequality has attracted many researchers, various generalizations, refinements, extensions and variants of (1.1) have appeared in the literature, we can mention the works [1–6, 8, 11–15, 21–24] and the references cited therein. In recent years, lot of efforts have been made by many mathematicians to generalize the classical convexity. Hanson in [10], introduced a new class of generalized convex functions, called invex functions, many authors studied some properties and the applications in mathematical programming and optimizations about invexity and preinvexity we refer readers to [7, 9, 16–18,20,25–27].

New Hadamard's inequality for (s1,s2) preinvex functions on co-ordinates