Results 11 to 20 of about 2,351 (264)
AN EXTREMAL PROBLEM FOR UNIVALENT FUNCTIONS [PDF]
Analele Universităţii Constantin Brâncuşi din Târgu Jiu : Seria Economie, 2010 Let S be the class of functions f(z)=z+a2z 2 …, f(0)=0, f′(0)=1 which are regular and univalent in the unit disk |z| x the equation φ′( x)=0 does not have real roots. Since S is a compact class, there exists x .
Miodrag IOVANOV
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On the Existence of an Extremal Function in the Delsarte Extremal Problem [PDF]
Mediterranean Journal of Mathematics, 2020 AbstractThis paper is concerned with a Delsarte-type extremal problem. Denote by$${\mathcal {P}}(G)$$P(G)the set of positive definite continuous functions on a locally compact abelian groupG. We consider the function class, which was originally introduced by Gorbachev,$$\begin{aligned}&{\mathcal {G}}(W, Q)_G = \left\{ f \in {\mathcal {P}}(G) \cap L^
Marcell Gaál, Zsuzsanna Nagy-Csiha
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A Functional Extremal Criterion [PDF]
Journal of Mathematical Sciences, 2004 Let \({\mathcal N}=\{(t_k, X_k):\, k\geq 1\}\) be a point process with time space \([0, \infty)\) and state space \([0, \infty)^d\), where \(\{t_k\}\) are distinct nonrandom time points monotonically increasing to \(\infty\). \(\{X_k\}\) are independent and identically distributed random vectors on a given probability space with values in \([0,\infty ...
Jordanova, P. K., Pancheva, E. I.
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Approximation of Minimal Functions by Extreme Functions [PDF]
SIAM Journal on Optimization, 2018 In a recent paper, Basu, Hildebrand, and Molinaro established that the set of continuous minimal functions for the 1-dimensional Gomory-Johnson infinite group relaxation possesses a dense subset of extreme functions. The $n$-dimensional version of this result was left as an open question.
Teresa M. Lebair, Amitabh Basu
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Extremal distributions of discrepancy functions [PDF]
Journal of Complexity, 2019 11 ...
Ralph Kritzinger, Markus Passenbrunner
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Functionals of clusters of extremes [PDF]
Advances in Applied Probability, 2003 For arbitrary stationary sequences of random variables satisfying a mild mixing condition, distributional approximations are established for functionals of clusters of exceedances over a high threshold. The approximations are in terms of the distribution of the process conditionally on the event that the first variable exceeds the threshold.
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Approximation by Extreme Functions
Journal of Approximation Theory, 1999 For a topological space \(T\) and a real normed space \(X\) let \(Y= C(T,X)\), the normed space of all \(X\)-valued bounded continuous functions on \(T\) endowed with the supremum norm. Let \(Y^{-1}=\{f\in Y:f\) does not vanish in any \(t\in T\}\). For \(f\in Y\), let \(\alpha(f)= d(f,Y^{-1})\) and let \(m(f)= \inf \{\|f(t)\|: t\in T\}\).
Jiménez-Vargas, A +2 more
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Three-point functions in N $$ \mathcal{N} $$ = 4 SYM at finite N c and background independence
Journal of High Energy Physics, 2020 We compute non-extremal three-point functions of scalar operators in N $$ \mathcal{N} $$ = 4 super Yang-Mills at tree-level in g YM and at finite N c , using the operator basis of the restricted Schur characters.
Ryo Suzuki
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An extremal harmonic function [PDF]
Proceedings of the American Mathematical Society, 1969 surface 3x=h-'(X) and D(u; X) for the Dirichlet integral over the region ix bounded by a and fi. The main result of this paper is the inequality: maxhJ|Qx=m(h; X)=D(h; X)
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Robin functions and extremal functions [PDF]
Annales Polonici Mathematici, 2003 Let \(L\) denote the set of plurisubharmonic functions \(u\) on \(\mathbb C^n\) of logarithmic growth, that is \(u(z) \leq \text{log }^+|z|+C\). For a bounded Borel set \(E\) in \(\mathbb C^n\), define \(V_E(z) = \sup\{u(z): u\in L, u\leq 0 \text{ on } E\}\).
Bloom, T., Levenberg, N., Ma'u, S.
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