Results 281 to 290 of about 6,047 (304)

Extremal Problems for Eigenvalue Functionals

SIAM Journal on Mathematical Analysis, 1985
We consider the eigenvalues, \(\lambda_ n(\rho)\), of self-adjoint Sturm- Liouville systems to be real valued functionals of certain coefficient functions in the differential equation. We introduce a classical (in general nonlinear) functional K(\(\rho)\) which is tangent to \(\lambda_ n(\rho)\) at a fixed function \(\rho^*\).
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On extremal points of quasiconvex functions

Mathematical Programming, 1985
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Quadrature and Extremal Bandlimited Functions

SIAM Journal on Mathematical Analysis, 2013
Let $\mathcal{A}(\delta)$ be the class of functions of exponential type $\delta>0$. We prove that for integrable $F\in\mathcal{A}(2\pi \delta)$ $\int_{-\infty}^\infty F(x) dx = \delta^{-1}\sum_{\xi\in\mathcal{T}_{\gamma,r}} (1-\frac{\gamma}{\pi(\xi^2+\gamma^2)+\gamma}) F(\delta^{-1}\xi)$, where $\mathcal{T}_{\gamma,r}$ is the set of zeros of $B_{\gamma,
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An extremal function for digraph subcontraction

Journal of Graph Theory, 1996
This paper determines, to within a constant factor, the maximum size of a digraph that has no (weak) subcontraction to the complete digraph \(DK_p\) of order \(p\), an analogue of a well-known undirected graph problem. Let \(d(p)\) be defined for positive integers \(p\) by \[ d(p)= \inf\{c; e(D)\geq c|D|\text{ implies } D\succ DK_p\}, \] where \(D ...
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Extreme distribution functions of copulas

Kybernetika, 2008
Summary: We study some properties of the distribution function of the random variable \(C(X,Y)\) when the copula of the random pair \((X,Y)\) is \(M\) (respectively, \(W\)) -- the copula for which each of \(X\) and \(Y\) is almost surely an increasing (respectively, decreasing) function of the other -- and \(C\) is any copula.
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The extremal function for K9= minors

Journal of Graph Theory, 2020
Martin Rolek
exaly  

Some properties of the extremal function for the Fuglede p-modulus

Annals of Functional Analysis, 2023
Małgorzata Ciska-Niedziałomska
exaly  

Sharp constant and extremal function for weighted Trudinger–Moser type inequalities in R2

Journal of Mathematical Analysis and Applications, 2015
FRANCISCO S B Albuquerque
exaly  

Extreme of Functions

2023
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An estimate for the Siciak extremal function – Subanalytic geometry approach

Journal of Mathematical Analysis and Applications, 2015
Rafał Pierzchała
exaly