Results 11 to 20 of about 7,129 (263)
Newton–Simpson-type inequalities via majorization
Journal of Inequalities and Applications, 2023 In this article, the main objective is construction of fractional Newton–Simpson-type inequalities with the concept of majorization. We established a new identity on estimates of definite integrals utilizing majorization and this identity will lead us to
Saad Ihsan Butt +3 more
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Matrix inequalities and majorizations around Hermite–Hadamard’s inequality [PDF]
Canadian Mathematical Bulletin, 2022 AbstractWe study the classical Hermite–Hadamard inequality in the matrix setting. This leads to a number of interesting matrix inequalities such as the Schatten p-norm estimates $$ \begin{align*}\left(\|A^q\|_p^p + \|B^q\|_p^p\right)^{1/p} \le \|(xA+(1-x)B)^q\|_p+ \|((1-x)A+xB)^q\|_p, \end{align*} $$ for all positive (semidefinite) $n\times n ...
Bourin, Jean-Christophe, Lee, Eun-Young
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On an upper bound for Sherman’s inequality
Journal of Inequalities and Applications, 2016 Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order.
Slavica Ivelić Bradanović +2 more
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Some inequalities of majorization type
Linear Algebra and its Applications, 2012 Some majorization inequalities on real vectors are provided and applied to derive some inequalities concerning norm, eigenvalues, singular values and traces of matrices. For a vector \(x=(x_1,x_2,\dots,x_n)\in{\mathbb R}^n\) one denotes by \(x^{\downarrow}=(x^{\downarrow}_1,x^{\downarrow}_2,\dots,x^{\downarrow}_n)\) the vector having the components of \
Turkman, Ramazan +2 more
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Multiplicative Lidskii's inequalities and optimal perturbations of frames [PDF]
, 2014 In this paper we study two design problems in frame theory: on the one hand, given a fixed finite frame $\cF$ for $\hil\cong\C^d$ we compute those dual frames $\cG$ of $\cF$ that are optimal perturbations of the canonical dual frame for $\cF$ under ...
Massey, Pedro G. +2 more
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On Jensen’s type inequalities via generalized majorization inequalities
Filomat, 2018 In this paper, we give generalizations of Jensen?s, Jensen-Steffensen?s and converse of Jensen?s inequalities by using generalized majorization inequalities. We also present Gr?ss and Ostrowski-type inequalities for the generalized inequalities.
Khan J., Khan M.A., Pečarić J.
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Majorization inequalities via convex functions
The Electronic Journal of Linear Algebra, 2022 Convex functions have been well studied in the literature for scalars and matrices. However, other types of convex functions have not received the same attention given to the usual convex functions. The main goal of this article is to present matrix inequalities for many types of convex functions, including log-convex, harmonically convex ...
Mohsen Kian, Mohammad Sababheh
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Rayleigh-Ritz majorization error bounds with applications to FEM [PDF]
, 2009 The Rayleigh-Ritz (RR) method finds the stationary values, called Ritz values, of the Rayleigh quotient on a given trial subspace as approximations to eigenvalues of a Hermitian operator $A$.
Argentati, Merico E., Knyazev, Andrew V.
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Extensions and improvements of Sherman’s and related inequalities for n-convex functions
Open Mathematics, 2017 This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity.
Bradanović Slavica Ivelić +1 more
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Some majorization inequalities for coneigenvalues [PDF]
The Electronic Journal of Linear Algebra, 2012 A new notion of coneigenvalue was introduced by Ikramov in (Kh.D. Ikramov. On pseudo-eigenvalues and singular numbers of a complex square matrix (in Russian). Zap. Nauchn. Semin. POMI, 334:111-120, 2006.). This paper presents some majorization inequalities for coneigen- values, which extend some classical majorization relations for eigenvalues and ...
Hans De Sterck, Minghua Lin
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