On q-Hermite-Hadamard Inequalities for Differentiable Convex Functions

By Seksan Jhanthanam, Jessada Tariboon, Sotiris K. Ntouyas, K. Nonlaopon. Mathematics, 2019

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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.

Subfields: Applied Mathematics

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