Author:
Ali Muhammad Aamir,Budak Hüseyin,Abbas Mujahid,Chu Yu-Ming
Abstract
AbstractIn this paper, we obtain Hermite–Hadamard-type inequalities of convex functions by applying the notion of$q^{b}$qb-integral. We prove some new inequalities related with right-hand sides of$q^{b}$qb-Hermite–Hadamard inequalities for differentiable functions with convex absolute values of second derivatives. The results presented in this paper are a unification and generalization of the comparable results in the literature on Hermite–Hadamard inequalities.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
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