Results 171 to 180 of about 497,049 (200)
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Inverse Forms of Hadamard Inequality
SIAM Journal on Matrix Analysis and Applications, 2002Summary: 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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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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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, 2018In 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, 2000Let \(f: [a,b]\to \mathbb{R}\), \(g: I\to\mathbb{R}\) 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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Hermite–Hadamard inequality for fuzzy integrals
Applied Mathematics and Computation, 20091 ...
Josefa Caballero, Kishin B. Sadarangani
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On Gram’s and Hadamard’s Determinant Inequalities
The Mathematical Gazette, 1963Suppose 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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On Hadamard Inequality for Log-Concave Functions
Southeast Asian Bulletin of Mathematics, 2003Some improvements and generalizations of Fink's results about Hadamard's inequality for log-concave functions are given.
Pečarić, Josip, Čuljak, Vera
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Inequalities for the Singular Values of Hadamard Products
SIAM Journal on Matrix Analysis and Applications, 1997In 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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A generalization of hadamard's inequality
Linear and Multilinear Algebra, 1992If 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
1992For 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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