Extending Whitney's extension theorem: nonlinear function spaces [PDF]
We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains $C$, with non-smooth boundary, in possibly non-compact manifolds.
Roberts, David Michael +1 more
core +4 more sources
Local convergence of a fifth convergence order method in Banach space
We provide a local convergence analysis for a fifth convergence order method to find a solution of a nonlinear equation in a Banach space. In our paper the sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative ...
Ioannis K. Argyros, Santhosh George
doaj +1 more source
Existence of common and upper frequently hypercyclic subspaces [PDF]
We provide criteria for the existence of upper frequently hypercyclic subspaces and for common hypercyclic subspaces, which include the following consequences.
Bès, Juan, Menet, Quentin
core +2 more sources
Fréchet derivative for light-like Wilson loops
We address the equations of motion for the light-like QCD Wilson exponentials defined in the generalized loop space. We attribute an important class of the infinitesimal shape variations of the rectangular light-like Wilson loops to the Fréchet ...
I.O. Cherednikov, T. Mertens
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Finite-Frequency SKS Splitting: Measurement and Sensitivity Kernels [PDF]
Splitting of SKS waves caused by anisotropy may be analyzed by measuring the splitting intensity, i.e., the amplitude of the transverse signal relative to the radial signal in the SKS time window. This quantity is simply related to structural parameters.
Paulssen, Hanneke +3 more
core +1 more source
On higher-order adjacent derivative of perturbation map in parametric vector optimization
This paper deals with higher-order sensitivity analysis in terms of the higher-order adjacent derivative for nonsmooth vector optimization. The relations between the higher-order adjacent derivative of the minima/the proper minima/the weak minima of a ...
Le Thanh Tung
doaj +1 more source
Communicability betweenness in complex networks [PDF]
Betweenness measures provide quantitative tools to pick out fine details from the massive amount of interaction data that is available from large complex networks.
Estrada, Ernesto +2 more
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Ball convergence for Traub-Steffensen like methods in Banach space
We present a local convergence analysis for two Traub-Steffensen-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. In earlier studies such as [16, 23] Taylor expansions and hypotheses up to the third
Argyros Ioannis K., George Santhosh
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Types of dependence and time-dependent association between two lifetimes in single parameter copula models [PDF]
Most publications on modeling insurance contracts on two lives, assuming dependence of the two lifetimes involved, focus on the time of inception of the contract.
Spreeuw, J.
core +1 more source
ON THE FRECHET DIFFERENTIABILITY OF LUXEMBURG NORM IN THE SEQUENCE SPACES l^{p_n} WITH VARIABLE EXPONENTS [PDF]
It is shown that the Luxemburg norm in the sequence space l^{(p_n)} with variable exponents is Frechet - differentiable and a formula expressing the Frechet derivative of this norm at any nonzero x ∈ l^{(p_n)} is given.
PAVEL MATEI
doaj

