Results 31 to 40 of about 216,614 (289)
Near Convexity, Metric Convexity, and Convexity
Rocky Mountain Journal of Mathematics, 2007 Many aspects of convexity in a normed space, hidden by the classical use of the obscure principle of excluded middle, are only revealed by a constructive approach. This paper studies various types of convexity, introducing several new concepts; it uses methods proposed by \textit{E.\,A.\thinspace Bishop} in Chapter~1 of ``A Constructivist Manifesto ...
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Remarks on the abelian convexity theorem
, 2018 This note contains some observations on abelian convexity theorems. Convexity along an orbit is established in a very general setting using Kempf-Ness functions.
Biliotti, Leonardo, Ghigi, Alessandro
core +1 more source
SOME NEW GENERALIZATIONS OF HADAMARD–TYPE MIDPOINT INEQUALITIES INVOLVING FRACTIONAL INTEGRALS
Проблемы анализа, 2020 In this study, we formulate the identity and obtain some generalized inequalities of the Hermite–Hadamard type by using fractional Riemann–Liouville integrals for functions whose absolute values of the second derivatives are convex.
B. Bayraktar
doaj +1 more source
Equivalence of Informations Characterizes Bregman Divergences
EntropyBregman divergences form a class of distance-like comparison functions which plays fundamental roles in optimization, statistics, and information theory.
Philip S. Chodrow
doaj +1 more source
, 2007 We revisit and prove some convexity inequalities for trace functions conjectured in the earlier part I. The main functional considered is \Phi_{p,q}(A_1,A_2,...,A_m) = (trace((\sum_{j=1}^m A_j^p)^{q/p}))^{1/q} for m positive definite operators A_j.
A. Uhlmann +25 more
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A Viro Theorem without convexity hypothesis for trigonal curves
, 2006 A cumbersome hypothesis for Viro patchworking of real algebraic curves is the convexity of the given subdivision. It is an open question in general to know whether the convexity is necessary.
Bertrand, Benoit, Brugalle, Erwan
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Meningovascular Inflammation in Cerebral Amyloid Angiopathy‐Related Cortical Superficial Siderosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT The role of inflammation in cortical superficial siderosis (cSS), a marker of cerebral amyloid angiopathy (CAA) linked to high hemorrhage risk, is unclear. We examined 15 patients with cSS using 3 T post‐contrast vessel wall MRI (VWI) and CSF analysis.
Philipp Arndt +8 more
wiley +1 more source
Convexity of the zeros of some orthogonal polynomials and related functions
, 2008 We study convexity properties of the zeros of some special functions that follow from the convexity theorem of Sturm. We prove results on the intervals of convexity for the zeros of Laguerre, Jacobi and ultraspherical polynomials, as well as functions ...
Ahmed +17 more
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Soft Computing, 2016 For an algebra [Formula: see text] belonging to a quasivariety [Formula: see text], the quotient [Formula: see text] need not belong to [Formula: see text] for every [Formula: see text]. The natural question arises for which [Formula: see text]. We consider algebras [Formula: see text] of type (2, 0) where a partial order relation is determined by the ...
Chajda, Ivan, Länger, Helmut
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Developmental and Epileptic Encephalopathy due to Biallelic Pathogenic Variants in PIGM
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective PIGM encodes a critical enzyme in the glycosylphosphatidylinositol (GPI)‐anchor biosynthesis pathway. While promoter‐region mutations in PIGM have been associated with a relatively mild phenotype characterized by portal vein thrombosis and absence seizures, recent evidence suggests that coding‐region mutations result in a more severe
Júlia Sala‐Coromina +11 more
wiley +1 more source