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We show new upper bounds for permanents and hafnians, which are particularly useful for complex matrices. Multidimensional permanents and hyperhafnians are considered as well. The permanental bounds improve on a Hadamard type inequality of…

经典分析与常微分方程 · 数学 2020-05-12 Bero Roos

We explore and generalize a Cauchy-Schwarz-type inequality originally proved in [Electronic Journal of Linear Algebra 35, 156-180 (2019)]: $\|\mathbf{v}^2\|\|\mathbf{w}^2\| - \langle\mathbf{v}^2,\mathbf{w}^2\rangle \leq…

泛函分析 · 数学 2025-07-15 Nathaniel Johnston , Sarah Plosker , Charles Torrance , Luis M. B. Varona

Considering some parameters and by means of an inequality of Hadamard, we derive general half-discrete Hilbert-type inequalities. Then we highlight some special cases.

泛函分析 · 数学 2016-01-06 Waleed Abuelela

In this paper, a general form of integral inequalities of Hermite-Hadamard's type through differentiability for s-Convex function in second sense and whose all derivatives are absolutely continuous are established. The generalized integral…

泛函分析 · 数学 2013-06-25 Muhammad Muddassar , Muhammad Iqbal Bhatti

Let F be an N x N complex matrix whose jth column is the vector f_j in C^N. Let |f_j|^2 denote the sum of the absolute squares of the entries of f_j. Hadamard's inequality for determinants states that |\det(F)| <= \prod_{j=1}^N|f_j|. Here…

经典分析与常微分方程 · 数学 2007-05-23 Eric Carlen , Elliott H. Lieb , Michael Loss

The main objective of present investigation to obtain some Minkowski-type fractional integral inequalities using generalised proportional Hadamard fractional integral operators which is introduced by Rahman et al in the paper (certain…

综合数学 · 数学 2020-07-22 Asha B. Nale , Satish K. Panchal , Vaijanath L. Chinchane

In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral…

泛函分析 · 数学 2013-04-10 Muhammad Muddassar , Muhammad Iqbal Bhatti , Wajeeha Irshad

In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite- Hadamard integral inequality for mappings whose derivatives are (h -($\alpha$?;m))-convex.The generalized…

泛函分析 · 数学 2013-04-11 Muhammad Muddassar , Muhammad Iqbal Bhatti

In this study, we establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications to special means of positive real numbers are also given and generalized. Examples are…

经典分析与常微分方程 · 数学 2013-04-23 Mevlut Tunc

We establish Hadamard-type inequalities for a class of symmetric matrices called $k$-positive matrices for which the $m$-th elementary symmetric functions of their eigenvalues are positive for all $m\leq k$. These matrices arise naturally…

环与代数 · 数学 2021-12-14 Nam Q. Le

In this paper, we not only give the extensions of the results given in [7] by Gill et al. for log-convex functions, but also obtain some new Hadamard type inequalities for log-convex, m-convex and (alpha,m)-convex functions.

泛函分析 · 数学 2011-04-01 Erhan Set , M. Emin Ozdemir , Sever S. Dragomir

The purpose of this paper is two-fold: we present some matrix inequalities of log-majorization type for eigenvalues indexed by a sequence; we then apply our main theorem to generalize and improve the Hua-Marcus' inequalities. Our results…

泛函分析 · 数学 2021-03-11 Bo-Yan Xi , Fuzhen Zhang

In this study, the author establish some inequalities of Hadamard like based on convex and s-convexity in the second sense. Some applications to special means of positive real numbers are also given.

经典分析与常微分方程 · 数学 2014-02-03 Mevlut Tunc

In this paper we establish some new inequalities of Hadamard-type for product of convex and s-convex functions in the second sense.

经典分析与常微分方程 · 数学 2012-02-13 Mevlut Tunc

In this paper some Hadamard_type inequalities for product of convex functions of 2-variables on the co-ordinates are given.

经典分析与常微分方程 · 数学 2011-04-29 M Emin Ozdemir , Ahmet Ocak Akdemir

In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.

经典分析与常微分方程 · 数学 2010-11-09 Cetin Yildiz , Mustafa Gurbuz , Ahmet Ocak Akdemir

In this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ordinates.

经典分析与常微分方程 · 数学 2012-03-21 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc

The main aim of the present note is to prove new Hadamard like integral inequalities for the product of the convex functions.

经典分析与常微分方程 · 数学 2011-08-23 Sahin Emrah Amrahov

A generalization of classical determinant inequalities like Hadamard's inequality and Fischer's inequality is studied. For a version of the inequalities originally proved by Arveson for positive operators in von Neumann algebras with a…

算子代数 · 数学 2018-12-24 Soumyashant Nayak

A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and…

数值分析 · 数学 2025-10-20 Sever Silvestru Dragomir
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