Hermite-Hadamard, Midpoint, Trapezoidal, and Simpson Type Inequalities and Related Results

Abstract

This thesis explores integral inequalities of the Hermite-Hadamard, Trapezoidal, Midpoint, and Simpson types inequalities for s-convex, Quasi-convex and P-convex functions. We present the refinements of Trapezoidal type inequalities and derive better upper bounds for the Midpoint and Simpson's type inequalities. Finally, some applications and graphical representations are also presented.