Results 171 to 180 of about 27,878 (202)
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Caputo–Hadamard fractional Halanay inequality
Applied Mathematics Letters, 2022In this paper, the authors studies the Caputo-Hadamard fractional Halanay inequality. A useful fractional derivative inequality regarding on \(x^ 2\) in the Caputo-Hadamard sense is derived and proved. The results obtained make the Halanay inequality more applicable to choose the Lyapunov function and to study the stability of fractional system.
Bin-Bin He, Hua-Cheng Zhou
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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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On weighted Hermite–Hadamard inequalities
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiao, Zhen-Gang +2 more
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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.
Leng, Gangsong, Zhou, Guo Biao
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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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Hermite–Hadamard inequality for fuzzy integrals
Applied Mathematics and Computation, 20091 ...
Caballero, J., Sadarangani, K.
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Some Inequalities Related to Hadamard Matrices
Functional Analysis and Its Applications, 2002The 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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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 q-Hermite–Hadamard inequalities for general convex functions
Acta Mathematica Hungarica, 2020Péter Kórus
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Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities
Mathematical and Computer Modelling, 2013Mehmet Zeki Sarikaya +2 more
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