New Integral Inequalities via the Katugampola Fractional Integrals for Functions Whose Second Derivatives Are Strongly ? -Convex

Seth Kermausuor, Eze R. Nwaeze and Ana M. Tameru
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Seth Kermausuor: Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA
Eze R. Nwaeze: Department of Mathematics, Tuskegee University, Tuskegee, AL 36088, USA
Ana M. Tameru: Department of Mathematics, Tuskegee University, Tuskegee, AL 36088, USA

Mathematics, 2019, vol. 7, issue 2, 1-14

Abstract: In this paper, we introduced some new integral inequalities of the Hermite–Hadamard type for functions whose second derivatives in absolute values at certain powers are strongly ? -convex functions via the Katugampola fractional integrals.

Keywords: Hermite–Hadamard type inequality; strongly ?-convex functions; Hölder’s inequality; Power mean inequality; Katugampola fractional integrals; Riemann–Liouville fractional integrals; Hadamard fractional integrals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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