Results 21 to 30 of about 7,129 (263)

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

Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder

open access: yesMathematics, 2019
The aim of this paper is to establish some refined versions of majorization inequality involving twice differentiable convex functions by using Taylor theorem with mean-value form of the remainder.
Shanhe Wu   +2 more
doaj   +1 more source

Majorization theorems for strongly convex functions

open access: yesJournal of Inequalities and Applications, 2019
In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and generalization of the earlier results.
Syed Zaheer Ullah   +2 more
doaj   +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

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

A generalization of majorization that characterizes Shannon entropy

open access: yes, 2016
We introduce a binary relation on the finite discrete probability distributions which generalizes notions of majorization that have been studied in quantum information theory.
Mueller, Markus P., Pastena, Michele
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

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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