Results 21 to 30 of about 428,488 (166)
A unified representation of some starlike and convex harmonic functions with negative coefficients [PDF]
In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions.
R. M. El-Ashwah +3 more
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On the extreme points and strongly extreme points in Köther-Bochner spaces
We give the necessary conditions of extreme points and strongly extreme points in the unit ball of K?the-Bochner spaces. The conditions have been shown to be sufficient earlier.
Hou, Zhentao, Pan, Jinghong
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A short note on extreme points of certain polytopes
We give a short proof of Mirsky’s result regarding the extreme points of the convex polytope of doubly substochastic matrices via Birkhoff’s Theorem and the doubly stochastic completion of doubly sub-stochastic matrices.
Cao Lei, Hall Ariana, Koyuncu Selcuk
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Bohnenblust-Hille inequalities: analytical and computational aspects
The Bohnenblust-Hille polynomial and multilinear inequalities were proved in 1931 and the determination of exact values of their constants is still an open and challenging problem, pursued by various authors.
WASTHENNY V. CAVALCANTE +1 more
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Extreme points of ${\mathcal L}_s(^2l_{\infty})$ and ${\mathcal P}(^2l_{\infty})$
For $n\geq 2,$ we show that every extreme point of the unit ball of ${\mathcal L}_s(^2l_{\infty}^n)$ is extreme in ${\mathcal L}_s(^2l_{\infty}^{n+1})$, which answers the question in [Period. Math. Hungar. 2018, 77 (2), 274-290].
Sung Guen Kim
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Harmonic Starlike Functions with Respect to Symmetric Points
In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions.
Nak Eun Cho, Jacek Dziok
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Matrix extreme points and free extreme points of free spectrahedra
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Aidan Epperly +3 more
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Lotz, H. P., Porta, H.
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Classification of the extreme points of ${\mathcal L}_s(^2l_{\infty}^3)$ by computation
Let $l_{\infty}^3=\mathbb{R}^3$ be endowed with the supremum norm. In [Comment. Math. 2017, 57 (1), 1-7], S.G. Kim classified the extreme points of the unit ball of ${\mathcal L}_s(^2l_{\infty}^3)$ only using Mathematica 8, where ${\mathcal L}_s(^2l_ ...
Sung Guen Kim
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We start by an application the of Krein–Milman theorem to the integral representation of completely monotonic functions. Elements of convex optimization are also mentioned. The paper continues with applications of Hahn–Banach-type theorems and polynomial
Octav Olteanu
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