On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications

In this study, new Hermite-Hadamard type inequalities are generated for geometric-arithmetic functions with the help of an integral equation proved for differentiable functions. In proofs, some classical integral inequalities, such as H\"{o}lder's inequality, basic definitions and known mathematical analysis procedures are used. The third part of the study includes various applications confirming the accuracy of the generated results. A brief conclusion of the study has been given in the last part of the paper.

کلیدواژه ها:

Mean function ، Special means ، GA-convex functions ، Holder's inequality