On q -Hermite-Hadamard Inequalities for Differentiable Convex Functions

Seksan Jhanthanam, Jessada Tariboon, Sotiris K. Ntouyas and Kamsing Nonlaopon
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Seksan Jhanthanam: 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, 45110 Ioannina, Greece
Kamsing Nonlaopon: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Mathematics, 2019, vol. 7, issue 7, 1-9

Abstract: In this paper, we establish some new results on the left-hand side of the q -Hermite–Hadamard inequality for differentiable convex functions with a critical point. Our work extends the results of Alp et. al ( q -Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions, J. King Saud Univ. Sci., 2018, 30, 193-203), by considering the critical point-type inequalities.

Keywords: Hermite-Hadamard inequalities; q -derivative; q -integral; convex functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (6)

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