The right Riemann–Liouville fractional Hermite–Hadamard type inequalities derived from Green’s function
Source abstract
Abstract
The purpose of this work is to present the right Riemann–Liouville fractional integral version of Hermite–Hadamard inequality via a relatively new method through the Green’s function approach. In the process, some identities are established. Using these identities, we obtain loads of new results for functions whose second derivative is convex, monotone, and concave in absolute value. We anticipate that the method outlined in this article will stimulate further investigation in this direction.
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Research context
OpenAlex topics: Mathematical Inequalities and Applications · Functional Equations Stability Results · Nonlinear Differential Equations Analysis
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Affiliations
Department of Mathematics, University of Peshawar 1 , Peshawar 25000, Pakistan
Department of Mathematics, Huzhou University 2 , 313000 Huzhou, China
Funding
Natural Science Foundation of Huzhou City
References (64)
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