It is a familiar fact that convex and non-convex fuzzy mappings play critical role in the study of optimization. Due to behavior its definition, idea convexity plays significant subject inequalities. The concepts symmetry have tight connection. We may use whatever we learn from one other, thanks correlation has developed between both recent years. Our aim consider new class (FMs) known as stron...

We establish some new inequalities of simpson’s type for differentiable mappings whose third derivatives in absolute values are preinvex and prequasiinvex. These give us new estimates which are better than already presented results. AMS (MOS) Subject Classification Codes: 26D15; 26D10.

In this paper, we prove Hermite-Hadamard type inequalities for r-preinvex functions via fractional integrals. The results presented here would provide extensions of those given in earlier works.

Convexity and generalized convexity play a central role in mathematical economics, engineering, and optimization theory. Therefore, the research on convexity and generalized convexity is one of the most important aspects in mathematical programming (see [1–4, 6–11] and the references therein). Weir and Mond [7] and Weir and Jeyakumar [6] introduced the definition of preinvexity for the scalar f...

In this paper we point out some inequalities of Hermite-Hadamard type for double integrals of functions whose partial derivatives in absolute value are preinvex on the co-ordinates on rectangle from the plane. Our established results generalize some recent results for functions whose partial derivatives in absolute value are convex on the co-ordinates on the rectangle from the plane.