Hadamard Integral Inequality for the Class of Geodesic Convex Functions

Authors

Sadegh Abbaszadeh, Department of Computer Science, Paderborn University, Paderborn, GermanyFollow
Maryam Oraki, Department of Mathematics, Payame Noor University, P.O. BOX 19395-4697, Tehran, IranFollow
Ali Ebadian, Department of Mathematics, Payame Noor University, P.O. BOX 19395-4697, Tehran, IranFollow

Author Country (or Countries)

Germany

Abstract

In this paper, we introduce the concept of (γ,η)-convex function by the inequality f􏰀γx,y(t)􏰁≤ηf(x),f(y)(t), in which γ and η are two geodesic arcs. Then, we will find some refinements of Hadamard integral inequality for (γ,η)-convex functions in the case of Lebesgue and Sugeno integral.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150501

Recommended Citation

Abbaszadeh, Sadegh; Oraki, Maryam; and Ebadian, Ali (2021) "Hadamard Integral Inequality for the Class of Geodesic Convex Functions," Applied Mathematics & Information Sciences: Vol. 15: Iss. 5, Article 1.
DOI: http://dx.doi.org/10.18576/amis/150501
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss5/1