Results 31 to 40 of about 7,964 (239)
Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function
Fractal and Fractional, 2023 For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
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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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Matrix inequalities and majorizations around Hermite–Hadamard’s inequality [PDF]
Canadian Mathematical Bulletin, 2022 AbstractWe study the classical Hermite–Hadamard inequality in the matrix setting. This leads to a number of interesting matrix inequalities such as the Schatten p-norm estimates $$ \begin{align*}\left(\|A^q\|_p^p + \|B^q\|_p^p\right)^{1/p} \le \|(xA+(1-x)B)^q\|_p+ \|((1-x)A+xB)^q\|_p, \end{align*} $$ for all positive (semidefinite) $n\times n ...
Bourin, Jean-Christophe, Lee, Eun-Young
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Hermite–Hadamard–Fejer type inequalities [PDF]
Journal of Interdisciplinary Mathematics, 2018 In this paper, we have established the left hand side of the Hermite–Hadamard–Fejer type inequalities for the class of functions whose derivatives in absolute value at certain powers are convex fun...
Yaldız, Hatice, Sarıkaya, Mehmet Zeki
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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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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 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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Conformable integral version of Hermite-Hadamard-Fejér inequalities via η-convex functions
AIMS Mathematics, 2020 The purpose of the article is to use symmetric η-convex functions to develop Hermite-Hadamard-Fejér inequality for conformable integral. We establish several conformable integral versions of Hermite-Hadamard-Fejér type inequality for the η-convex ...
Yousaf Khurshid +2 more
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Advances in Difference Equations, 2021 In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
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Hermite–Hadamard-Type Inequalities and Two-Point Quadrature Formula
Mathematics, 2022 As convexity plays an important role in many aspects of mathematical programming, e.g., for obtaining sufficient optimality conditions and in duality theorems, and one of the most important inequalities for convex functions is the Hermite–Hadamard ...
Josipa Barić
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