Title of article :
On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications
Author/Authors :
Avcı-Ardıç ، Merve Department of Mathematics - Faculty of Science and Arts - Adıyaman University , Akdemir ، Ahmet Ocak Department of Mathematics - Faculty of Science and Letters - Ağrı İbrahim Çeçen University , Set ، Erhan Department of Mathematics - Faculty of Science and Letters - Ordu University
Abstract :
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 Hölder’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.
Keywords :
Mean function , Special means , GA−convex functions , Hölder’s inequality
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
