Results 21 to 30 of about 12,972,182 (333)
On the Siciak extremal function for real compact convex sets [PDF]
, 2001 We study the Siciak-Zaharjuta extremal function for compact convex ...
L. Bos, Jean-Paul Calvi, N. Levenberg
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The extremal function for the complex ball for generalized notions of degree and multivariate polynomial approximation [PDF]
Annales Polonici Mathematici, 2018 We discuss the Siciak-Zaharjuta extremal function of pluripotential theory for the unit ball in C^d for spaces of polynomials with the notion of degree determined by a convex body P.
T. Bloom +4 more
semanticscholar +1 more source
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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The Extremal Function for Cycles of Length l mod k [PDF]
Electronic Journal of Combinatorics, 2016 Burr and Erd\H{o}s conjectured that for each $k,\ell \in \mathbb Z^+$ such that $k \mathbb Z + \ell$ contains even integers, there exists $c_k(\ell)$ such that any graph of average degree at least $c_k(\ell)$ contains a cycle of length $\ell$ mod $k ...
B. Sudakov, Jacques Verstraëte
semanticscholar +1 more source
The extremal function for disconnected minors [PDF]
J. Comb. Theory B, 2015 For a graph $H$ let $c(H)$ denote the supremum of $|E(G)|/|V(G)|$ taken over all non-null graphs $G$ not containing $H$ as a minor. We show that $$c(H) \leq \frac{|V(H)|+\mathrm{comp}(H)}{2}-1,$$ when $H$ is a union of cycles, verifying conjectures of ...
E. Csóka +4 more
semanticscholar +1 more source
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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On an Optimal Quadrature Formula in a Hilbert Space of Periodic Functions
Algorithms, 2022 The present work is devoted to the construction of optimal quadrature formulas for the approximate calculation of the integrals ∫02πeiωxφ(x)dx in the Sobolev space H˜2m.
Kholmat Shadimetov +2 more
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Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M. +2 more
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A weighted extremal function and equilibrium measure [PDF]
, 2015 Let $K={\bf R}^n\subset {\bf C}^n$ and $Q(x):=\frac{1}{2}\log (1+x^2)$ where $x=(x_1,...,x_n)$ and $x^2 = x_1^2+\cdots +x_n^2$. Utilizing extremal functions for convex bodies in ${\bf R}^n\subset {\bf C}^n$ and Sadullaev's characterization of ...
L. Bos +3 more
semanticscholar +1 more source
A weighted extremal function and equilibrium measure [PDF]
, 2017 We find an explicit formula for the weighted extremal function of $\mathbb{R}^n\subset \mathbb{C}^n$ with weight $(1+x_1^2+\cdots +x_n^2)^{-1/2}$ as well as its Monge-Ampère measure. As a corollary, we compute the Alexander capacity of $\mathbb{RP}^n$
Bos, Len +3 more
core +5 more sources