Results 151 to 160 of about 1,292 (179)

Inverse Forms of Hadamard Inequality

SIAM Journal on Matrix Analysis and Applications, 2002
Summary: We establish the inverse inequalities of the Hadamard inequality and the Szasz inequality. To prove these results, we give two sharpenings of the Hadamard inequality and the Szasz inequality.
Gangsong Leng, Guobiao Zhou
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On the Hadamard inequality

Studia Scientiarum Mathematicarum Hungarica, 2008
Let a and b be real numbers with a < b , Let υ : [ a, b ] → ℝ be continuous and convex. An n-dimensional extension of the inequality \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage ...
Pal Fischer, Zbigniew Slodkowski
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A complement of the Hadamard-Fischer inequality

Journal of Intelligent & Fuzzy Systems, 2018
In this paper, we first give a new proof and a complement of the Hadamard-Fischer inequality, then present some results related to positive definite 3 × 3 block matrix and matrices whose numerical ranges are contained in a sector.
Sheng Dong, Lei Hou 0005
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Hadamard and Fejer-type inequalities

Archiv der Mathematik, 2000
Let \(f: [a,b]\to \mathbb{R}\), \(g: I\to\mathbb{R}\) be a bijective, continuous mapping defined on an interval \(I\), containing \(\text{range}(f)\). Then \(f\) is named \(g\)-convex if \[ f(ux+ (1- u)y)\leq g^{-1}[u(g\circ f)(x)+ (1- u)(g\circ f)(y)] \] holds true for all \(x,y\in[a, b]\); \(u\in [0,1]\).
Saidi, Fathi, Younis, Rahman
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On Gram’s and Hadamard’s Determinant Inequalities

The Mathematical Gazette, 1963
Suppose E is a vector space over the field of complex numbers with a complex valued scalar product ( , ), with the properties and ( x, x ) ≠ 0 when x ≠ 0, defined over it.
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Inequalities for the Singular Values of Hadamard Products

SIAM Journal on Matrix Analysis and Applications, 1997
In their classical book ``Topics on matrix analysis'' (1991; Zbl 0729.15001), p. 334, \textit{R. A. Horn} and \textit{C. R. Johnson} gave an upper bound on the sum of the singular values of the Hadamard (Schur) product of two complex matrices in terms of the row and column lengths of one matrix and the singular values of the other matrix, and ...
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Hermite-Hadamard’s Inequality on Time Scales

International Journal of Artificial Life Research, 2011
We establish several Hermite-Hadamard’s inequalities on time scales.
Fu-Hsiang Wong, Wei-Cheng Lian, Cheh-Chih Yeh, Ruo-Lan Liang   +3 more
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A generalization of hadamard's inequality

Linear and Multilinear Algebra, 1992
If A = (ai,j ) is an n × n complex matrix then h(A) denotes the product of the diagonal entries of A, and if λ is a partition of n then [λ](A) is defined by where Sn denotes the symmetric group of degree n and {λ} is the ordinary irreducible character of Sn corresponding to λ. Let deg λ denote the degree of {λ}.
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On the Landau-Hadamard inequality

1992
For any bounded real-valued function f defined on the whole real line ℝ or on the half-line (0, +∞), denote by ω(f) the oscillation of f, $$\omega \left( f \right) = \sup \;f - \inf \;f = \mathop {\sup }\limits_{x,y} \left( {f\left( x \right) - f\left( y \right)} \right),$$ and put, as usual, $${\left\| f \right\|_\infty } = \mathop {\sup ...
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Some Inequalities Related to Hadamard Matrices

Functional Analysis and Its Applications, 2002
The author defines a parameter \(\rho^{(n)}\) connected with an \(n\times n\) matrix \(A=(a_{ki})\) and a normalized basis \((\varphi_k)\) of a Banach space \(X\) by \[ \rho^{(n)} := \max_{1\leq m\leq 2^n} \Biggl\|\sum_{i=1}^{2^n} \sum_{k=1}^m a_{ki}\varphi_i\Biggr\|. \] Throughout it is assumed that \((\varphi_k)\) is subsymmetric with constant \(1\).
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