Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 8, Issue 1


Published
on

April 12, 2023


Pages

11-18


DOI

Article

New General Inequalities For Exponential Type Convex Function

Check for updates


Authors

Cetin Yıldız Affiliation:
Ataturk University, K. K. Education Faculty, Department of Mathematics, 25240, Campus, Erzurum, Turkey
, Emre Bakan Affiliation:
Ataturk University, K. K. Education Faculty, Department of Mathematics, 25240, Campus, Erzurum, Turkey
and Huseyin Donmez Affiliation:
Ataturk University, K. K. Education Faculty, Department of Mathematics, 25240, Campus, Erzurum, Turkey


Abstract

In this paper, we introduce the concept of an exponential type convex function. We establish new integral inequalities of the Hermite-Hadamard type by using the Power-Mean and Holder inequalities. Additionally, we give definitions of the Riemann-Liouville fractional integrals. We use these Riemann- Liouville fractional integrals to establish a new integral inequalities for exponential type convex function.


Keywords

Convex function, Exponential type convexity, Hermite-Hadamard inequalities.


Citation

Yıldız, C., Bakan, E., & Donmez, H. (2023). New general inequalities for exponential type convex function. Turkish Journal of Science, 8(1), 11–18. https://doi.org/10.66833/TJOS-2023-0002

Published by: Engineering Journals

Engineering Journals Logo