Some new inequalities of hermite-hadamard type for mappings whose derivatives are s-convex

Convexity and the generalization of convexity are one of the most important aspects in mathematical programming, optimization theory, equilibrum problems and variational problems. One of generalization convexity is s-convexity. Recently, it has been establihed some results of the right hand side of a Hermite-Hadamard type inequality. In this thesis, some results of the left hand side of a Hermite- Hadamard type inequality were obtained for the class of mappings whose derivatives at certain powers are s-convex.