Results 21 to 30 of about 7,191 (277)

Extensions and improvements of Sherman’s and related inequalities for n-convex functions

open access: yesOpen 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
doaj   +1 more source

Proximal Linearized Iteratively Reweighted Algorithms for Nonconvex and Nonsmooth Optimization Problem

open access: yesAxioms, 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
doaj   +1 more source

Some majorization inequalities for coneigenvalues [PDF]

open access: yesThe 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
openaire   +1 more source

Sequences of resource monotones from modular Hamiltonian polynomials

open access: yesPhysical 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
doaj   +1 more source

New Majorized Fractional Simpson Estimates

open access: yesAxioms, 2023
Fractional calculus has been a concept used to acquire new variants of some well-known integral inequalities. In this study, our primary goal is to develop majorized fractional Simpson’s type estimates by employing a differentiable function.
Xiaoye Ding   +4 more
doaj   +1 more source

Rayleigh-Ritz majorization error bounds with applications to FEM [PDF]

open access: yes, 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.
core   +1 more source

Relationship between stochastic inequalities and some classical mathematical inequalities

open access: yesJournal of Inequalities and Applications, 1997
The notions of association and dependence of random variables, rearrangements, and heterogeneity via majorization ordering have proven to be most useful for deriving stochastic inequalities.
Tong YL
doaj   +2 more sources

Generalized Log-Majorization and Multivariate Trace Inequalities [PDF]

open access: yesAnnales Henri Poincaré, 2017
We show that recent multivariate generalizations of the Araki-Lieb-Thirring inequality and the Golden-Thompson inequality [Sutter, Berta, and Tomamichel, Comm. Math. Phys. (2016)] for Schatten norms hold more generally for all unitarily invariant norms and certain variations thereof. The main technical contribution is a generalization of the concept of
Hiai, Fumio   +2 more
openaire   +3 more sources

Sherman’s and related inequalities with applications in information theory

open access: yesJournal of Inequalities and Applications, 2018
In this paper we give extensions of Sherman’s inequality considering the class of convex functions of higher order. As particular cases, we get an extended weighted majorization inequality as well as Jensen’s inequality which have direct connection to ...
S. Ivelić Bradanović   +3 more
doaj   +1 more source

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