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Improvements of the Hermite-Hadamard inequality for the simplex [PDF]
J Inequal Appl, 2017 In this study, the simplex whose vertices are barycenters of the given simplex facets plays an essential role. The article provides an extension of the Hermite-Hadamard inequality from the simplex barycenter to any point of the inscribed simplex except ...
Zlatko Pavić
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Mathematics, 2023 In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
M. Tariq, S. Ntouyas, A. A. Shaikh
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The Hermite-Hadamard inequality for $ s $-Convex functions in the third sense
AIMS Mathematics, 2021 In this paper, the Hermite-Hadamard inequality for $ s $-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented.
Sevda Sezer
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Hermite-Hadamard inequality for new generalized conformable fractional operators
AIMS Mathematics, 2021 This paper is concerned to establish an advanced form of the well-known Hermite-Hadamard (HH) inequality for recently-defined Generalized Conformable (GC) fractional operators.
T. Khan, M. Khan
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Some New Estimates of Hermite-Hadamard Inequality with Application
Axioms, 2023 This paper establishes several new inequalities of Hermite–Hadamard type for |f′|q being convex for some fixed q∈(0,1]. As application, some error estimates on special means of real numbers are given.
Tao Zhang, Alatancang Chen
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A Review of Hermite-Hadamard Inequality for α-Type Real-Valued Convex Functions
Symmetry, 2022 Inequalities play important roles not only in mathematics but also in other fields, such as economics and engineering. Even though many results are published as Hermite–Hadamard (H-H)-type inequalities, new researchers to these fields often find it ...
O. Almutairi, Adem Kılıçman
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New Estimates for Hermite-Hadamard Inequality in Quantum Calculus via (α, m) Convexity
Symmetry, 2022 This study provokes the existence of quantum Hermite-Hadamard inequalities under the concept of q-integral. We analyse and illustrate a new identity for the differentiable function mappings whose second derivatives in absolute value are (α,m) convex ...
Peng Xu, S. Butt, Qurat Ul Ain, H. Budak
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A New Version of the Hermite-Hadamard Inequality for Riemann-Liouville Fractional Integrals
Symmetry, 2020 Integral inequalities play a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different mathematical methods.
P. Mohammed, I. Brevik
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Journal of Inequalities and Applications, 2020 In this article, firstly, Hermite–Hadamard’s inequality is generalized via a fractional integral operator associated with the Caputo–Fabrizio fractional derivative.
M. Gürbüz +3 more
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Quantum Hermite–Hadamard inequality by means of a Green function
, 2020 The purpose of this work is to present the quantum Hermite–Hadamard inequality through the Green function approach. While doing this, we deduce some novel quantum identities.
M. Adil Khan +3 more
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