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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 15 > No. 5

 
   

Hadamard Integral Inequality for the Class of Geodesic Convex Functions

PP: 539-546
doi:10.18576/amis/150501
Author(s)
Sadegh Abbaszadeh, Maryam Oraki, Ali Ebadian,
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.

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