Hadamard type inequalities for Lipschitzian functions

This thesis is about getting some inequalities for lipschitz functions that are obtained for p-convex functions inequalities. At first, some basic definitions and theorems of the condition of Lipschitz, convex, p-convex, p-concave, concave-harmonic, harmonic convex functions are given. Then, some inequalities for p-convex functions and Hadamard's inequalities for lipschitz mappings and applications are given. Finally, we have new inequalities for differentiable lipschitz functions by means of inequalities which are used for p-convex functions.