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In this paper, a novel parallel hybrid iterative method is proposed for finding a common element of the set of solutions of a system of equilibrium problems, the set of solutions of variational inequalities for inverse strongly monotone…

最优化与控制 · 数学 2015-10-28 Dang Van Hieu

The linear nonhomogeneous fractional difference system with constant coefficients is introduced. An explicit solution to the system is acquired by proposing a newly discrete retarded perturbation of the nabla Mittag-Leffer-type function…

动力系统 · 数学 2024-01-09 Mustafa Aydin , Nazim I. Mahmudov

We show that recent multivariate generalizations of the Araki-Lieb-Thirring inequality and the Golden-Thompson inequality [Sutter, Berta, and Tomamichel, Comm. Math. Phys. (2016)] for Schatten norms hold more generally for all unitarily…

数学物理 · 物理学 2017-12-12 Fumio Hiai , Robert Koenig , Marco Tomamichel

In this short note, we improve the famous Reid Inequality related to linear operators.

泛函分析 · 数学 2017-04-25 Mohammed Hichem Mortad

In this paper we study Hardy-Sobolev inequalities on hypersurfaces of $\mathbb{R}^{n+1}$, all of them involving a mean curvature term and having universal constants independent of the hypersurface. We first consider the celebrated Sobolev…

偏微分方程分析 · 数学 2020-03-02 Xavier Cabre , Pietro Miraglio

We establish a novel improvement of the classical discrete Hardy inequality, which gives the discrete version of a recent (continuous) inequality of Frank, Laptev, and Weidl. Our arguments build on certain weighted inequalities based on…

泛函分析 · 数学 2024-07-09 Prasun Roychowdhury , Durvudkhan Suragan

In this short note, we investigate the generalization of Lehmer's problem to finitely generated fields over $\mathbb{Q}$.

数论 · 数学 2025-12-10 Mounir Hajli

We present several operator extensions of the Chebyshev inequality for Hilbert space operators. The main version deals with the synchronous Hadamard property for Hilbert space operators. Among other inequalities, it is shown that if…

泛函分析 · 数学 2018-06-18 Mojtaba Bakherad , Silvestru Sever Dragomir

The aim of this article is to introduce an iterative algorithm for finding a common solution from the set of an equilibrium point for a bifunction and the set of a singularity of an inclusion problem on an Hadamard manifold. We also discuss…

泛函分析 · 数学 2019-07-02 Konrawut Khammahawong , Poom Kumam , Parin Chaipunya

In this paper, we present a novel method to compute an explicit formula for the inverse of the confluent Vandermonde matrices. Our proposed results may have many interesting perspectives in diverse areas of mathematics and natural sciences,…

环与代数 · 数学 2020-10-09 M. Moucouf , S. Zriaa

In this article, under mild constraints on the sectional curvature, we exploit a divergence formula for symmetric endomorphisms to deduce a general Poincar\'e type inequality. We apply such inequality to higher-order mean curvature of…

微分几何 · 数学 2023-06-02 Hilário Alencar , Márcio Batista , Gregório Silva Neto

In this paper, new versions of Chebyshev's, Minkowski's and Holder's type inequalities are studied by using a monotone measure-base universal integral on an arbitrary measurable space. This paper generalizes some previous results obtained…

泛函分析 · 数学 2013-04-16 Hamzeh Agahi

The purpose of this manuscript is to derive two distinct integral representations of the generalized polylogarithm using two different techniques. The first approach involves the Dirichlet series and its Laplace representation, which leads…

复变函数 · 数学 2025-01-22 Deepshikha Mishra , A. Swaminathan

In this paper, a general integral identity for a twice differentiable functions is derived. By using of this identity, the author establishes some new Hermite-Hadamard type and Simpson type inequalities for differentiable…

经典分析与常微分方程 · 数学 2014-08-15 Imdat Iscan

We consider the copula mapping, which maps a joint cumulative distribution function to the corresponding copula. Its Hadamard differentiablity was shown in van der Vaart and Wellner (1996), Fermanian et al. (2004) and (under less strict…

统计理论 · 数学 2023-03-30 Natalie Neumeyer , Marek Omelka

Hadamard matrices are square $n\times n$ matrices whose entries are ones and minus ones and whose rows are orthogonal to each other with respect to the standard scalar product in $\Bbb R^n$. Each Hadamard matrix can be transformed to a…

组合数学 · 数学 2021-05-05 Ruslan Sharipov

We prove tight bounds for the $\infty$-norm of the inverse of symmetric, diagonally dominant positive matrices. We also prove a new lower-bound form of Hadamard's inequality for the determinant of diagonally dominant positive matrices and…

泛函分析 · 数学 2015-03-20 Christopher J. Hillar , Shaowei Lin , Andre Wibisono

By using the Hadamard matrix product concept, this paper introduces two generalized matrix formulation forms of numerical analogue of nonlinear differential operators. The SJT matrix-vector product approach is found to be a simple,…

计算工程、金融与科学 · 计算机科学 2024-09-21 W. Chen

In this paper we defined $r-$convexity on the coordinates and we established some Hadamard-Type Inequalities.

经典分析与常微分方程 · 数学 2025-01-17 Ahmet Ocak Akdemir , M Emin Ozdemir

In this paper, we establish several new inequalities for n- time differentiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.

泛函分析 · 数学 2014-04-22 M. Emin Ozdemir , Cetin Yildiz
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