Refinements of Hermite–Hadamard Inequalities for Continuous Convex Functions via ( p, q )-Calculus

Julalak Prabseang, Kamsing Nonlaopon, Jessada Tariboon and Sotiris K. Ntouyas
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Julalak Prabseang: Department of Mathematics, Faculty of Science and Technology, Phetchaburi Rajabhat University, Phetchaburi 76000, Thailand
Kamsing Nonlaopon: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Jessada Tariboon: Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
Sotiris K. Ntouyas: Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

Mathematics, 2021, vol. 9, issue 4, 1-12

Abstract: In this paper, we present some new refinements of Hermite–Hadamard inequalities for continuous convex functions by using ( p , q ) -calculus. Moreover, we study some new ( p , q ) -Hermite–Hadamard inequalities for multiple integrals. Many results given in this paper provide extensions of others given in previous research.

Keywords: Hermite–Hadamard inequality; ( p , q )-derivative; ( p , q )-integral; convex functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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