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

Avcı Ardıç, Merve; Akdemir, Ahmet Ocak; Set, Erhan

doi:10.22130/scma.2021.535821.971

Document Type : Research Paper

Authors

¹ Adıyaman University, Faculty of Science and Arts, Department of Mathematics, Adıyaman, Turkey.

² Ağrı İbrahim Çeçen University, Faculty of Science and Letters, Department of Mathematics, 04100, Ağrı, Turkey.

³ Ordu University, Faculty of Science and Letters, Department of Mathematics,Ordu, Turkey.

https://doi.org/10.22130/scma.2021.535821.971

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 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.

Keywords

20.1001.1.23225807.2022.19.2.1.8

References

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Sahand Communications in Mathematical Analysis

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

References

References

Volume 19, Issue 2
June 2022
Pages 1-14

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

References

References

Volume 19, Issue 2June 2022Pages 1-14

Volume 19, Issue 2
June 2022
Pages 1-14