Results 11 to 20 of about 3,513 (190)
On the Operator Hermite–Hadamard Inequality [PDF]
Complex Analysis and Operator Theory, 2021 The main target of this paper is to discuss operator Hermite--Hadamard inequality for convex functions, without appealing to operator convexity. Several forms of this inequality will be presented and some applications including norm and mean inequalities will be shown too.
Hamid Reza Moradi +2 more
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Generalized proportional fractional integral Hermite–Hadamard’s inequalities [PDF]
Advances in Difference Equations, 2021 AbstractThe theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations. Fractional calculus has been found to be the best for modeling physical and engineering processes.
Tariq A. Aljaaidi +5 more
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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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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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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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Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
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New discrete inequalities of Hermite–Hadamard type for convex functions
Advances in Difference Equations, 2021 We introduce new time scales on Z $\mathbb{Z}$ . Based on this, we investigate the discrete inequality of Hermite–Hadamard type for discrete convex functions.
Pshtiwan Othman Mohammed +3 more
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Hermite-Hadamard-Fejér inequalities for double integrals
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021 Summary: In this paper, we first obtain Hermite-Hadamard-Fejer inequalities for co-ordinated convex functions in a rectangle from the plane \(\mathbb{R}^2\). Moreover, we give the some refinement of these obtained Hermite-Hadamard-Fejer inequalities utilizing two mapping.
Budak, Hüseyin, Sarıkaya, Mehmet Zeki
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