Results 21 to 30 of about 7,191 (277)
Extensions and improvements of Sherman’s and related inequalities for n-convex functions
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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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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Some majorization inequalities for coneigenvalues [PDF]
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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Majorization, interpolation and noncommutative Khinchin inequalities
22 pages, accepted ...
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Sequences of resource monotones from modular Hamiltonian polynomials
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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New Majorized Fractional Simpson Estimates
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
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Rayleigh-Ritz majorization error bounds with applications to FEM [PDF]
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
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
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Generalized Log-Majorization and Multivariate Trace Inequalities [PDF]
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
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Sherman’s and related inequalities with applications in information theory
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

