Title of article :
Uncertain Hermite-Hadamard inequality for functions with (s,m)-Godunova-Levin derivatives via fractional integral
Author/Authors :
Avazpour ، Ladan - Islamic Azad University, Yasooj Branch , Allahviranloo ، Tofigh , Islam ، Shafiqul - University of Prince Edward Island
Abstract :
In this paper, we mix both concepts of s-Godunova-Levin and m-convexity and introduce the (s,m)- Godunova-Levin functions. We introduce the fuzzy Hermite-Hadamard inequality for (s,m)-Godunova-Levin functions via fractional integral. Holder inequality is used for new bounds for fuzzy Hermite-Hadamard inequality. Then we accommodate this result with the previous works that have been done before.
Keywords :
Fuzzy number , fuzzy Hermite , Hadamard inequality , s , Godunova , Levin function , m , convex function , fractional integral.
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications