Results 11 to 20 of about 441 (257)
Advances in Difference Equations, 2020 In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We obtain a generalized majorization theorem
Nouman Siddique +3 more
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Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices
Journal of Function Spaces, 2021 In this paper, we establish a Fischer type log-majorization of singular values on partitioned positive semidefinite matrices, which generalizes the classical Fischer's inequality. Meanwhile, some related and new inequalities are also obtained.
Benju Wang, Yun Zhang
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Majorization, Csiszár divergence and Zipf-Mandelbrot law
Journal of Inequalities and Applications, 2017 In this paper we show how the Shannon entropy is connected to the theory of majorization. They are both linked to the measure of disorder in a system. However, the theory of majorization usually gives stronger criteria than the entropic inequalities.
Naveed Latif +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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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 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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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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Axioms, 2022 The nonconvex and nonsmooth optimization problem has been attracting increasing attention in recent years in image processing and machine learning research. The algorithm-based reweighted step has been widely used in many applications.
Juyeb Yeo, Myeongmin Kang
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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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Sequences of resource monotones from modular Hamiltonian polynomials
Physical Review Research, 2023 We introduce two infinite sequences of entanglement monotones, which are constructed from expectation values of polynomials in the modular Hamiltonian.
Raúl Arias +4 more
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