Approximation auf abgeschlossenen Teilen Riemannscher Flächen.
Approximation by Faber Polynomials for a Class of Jordan Domains.
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM
We study the approximation of harmonic functions by means of harmonic polynomials in two-dimensional, bounded, star-shaped domains. Assuming that the functions possess analytic extensions to a δ-neighbourhood of the domain, we prove exponential convergence of the approximation error with respect to the degree of the approximating harmonic polynomial. All the constants appearing in the bounds are explicit and depend only on the shape-regularity of the domain and on δ. We apply the obtained estimates...
Approximation by -Faber-Laurent rational functions in the weighted Lebesgue spaces
Let be a regular Jordan curve. In this work, the approximation properties of the -Faber-Laurent rational series expansions in the weighted Lebesgue spaces are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a th integral modulus of continuity in spaces is estimated.
Approximation by Solutions of Elliptic Equations on Closed Subsets of Euclidean Space.
Approximation on a disk I.
Approximation on a disk II.
Approximation polynomiale sur un compact de
Approximation Properties of Schurer-Stancu Type Polynomials
MSC 2010: 41A25, 41A35
Approximation Theory on Totally Real Submanifolds.
Approximations by the Cauchy-type integrals with piecewise linear densities
The paper is a contribution to the complex variable boundary element method, shortly CVBEM. It is focused on Jordan regions having piecewise regular boundaries without cusps. Dini continuous densities whose modulus of continuity satisfies are considered on these boundaries. Functions satisfying the Hölder condition of order , , belong to them. The statement that any Cauchy-type integral with such a density can be uniformly approximated by a Cauchy-type integral whose density is a piecewise...
Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc.
Asymptotic FitzGerald inequalities.
Asymptotics for extremal polynomials with varying measures.
Asymptotics for orthogonal polynomials off the circle.
Asymptotics for quadratic Hermite-Padé polynomials associated with the exponential function.
Asymptotische Selbstentwicklungen von holomorphen Funktionen.
Bérenger/Maxwell with Discontinous Absorptions : Existence, Perfection, and No Loss
We analyse Bérenger’s split algorithm applied to the system version of the two dimensional wave equation with absorptions equal to Heaviside functions of , . The methods form the core of the analysis [11] for three dimensional Maxwell equations with absorptions not necessarily piecewise constant. The split problem is well posed, has no loss of derivatives (for divergence free data in the case of Maxwell), and is perfectly matched.
Best lambda-Approximation for Entire Functions of Finite Order
Best lambda-approximations for analytic functions of rapid growth on the unit disc