Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals

• Published in: AIMS mathematics Vol. 6; no. 10; pp. 10679 - 10695
• Main Authors: Sun, Wenbing, Xu, Rui
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: generalized harmonically convex function; hermite-hadamard type inequality; local fractional integral; yang's fractal sets

In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new generalized Hermite-Hadamard type inequalities whose function is monotonically increasing and generalized harmonically convex are obtained. Fina...