Almutairi, O.; Kılıçman, A. New Generalized Hermite-Hadamard Inequality and Related Integral Inequalities Involving Katugampola Type Fractional Integrals. Symmetry2020, 12, 568.
Almutairi, O.; Kılıçman, A. New Generalized Hermite-Hadamard Inequality and Related Integral Inequalities Involving Katugampola Type Fractional Integrals. Symmetry 2020, 12, 568.
Cite as:
Almutairi, O.; Kılıçman, A. New Generalized Hermite-Hadamard Inequality and Related Integral Inequalities Involving Katugampola Type Fractional Integrals. Symmetry2020, 12, 568.
Almutairi, O.; Kılıçman, A. New Generalized Hermite-Hadamard Inequality and Related Integral Inequalities Involving Katugampola Type Fractional Integrals. Symmetry 2020, 12, 568.
Abstract
In this paper, a new identity for the generalized fractional integral is defined, through which new integral inequality for functions whose first derivatives in absolute value are convex. The new generalized Hermite-Hadamard inequality for generalized convex function on fractal sets involving Katugampola type fractional integral is established. We derive trapezoid and mid-point type inequalities connected to these generalized Hermite-Hadamard inequality.
Keywords
Convex function; generalized convex function; Hermite–Hadamard inequality; Katugampola fractional integral
Subject
Computer Science and Mathematics, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
