In this paper, we introduce the concept of (γ,η)-convex function by the inequality fγx,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)
Abbaszadeh, Sadegh; Oraki, Maryam; and Ebadian, Ali
"Hadamard Integral Inequality for the Class of Geodesic Convex Functions,"
Applied Mathematics & Information Sciences: Vol. 15
, Article 1.
Available at: https://dc.naturalspublishing.com/amis/vol15/iss5/1