Approximating poles of complex rational functions.
Approximation
Approximation and interpolation of entire functions
Approximation and interpolation of entire functions and generalized orders
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 measures for logarithms of algebraic numbers
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...
Area Nevanlinna type classes of analytic functions in the unit disk and related spaces
The survey collects many recent advances on area Nevanlinna type classes and related spaces of analytic functions in the unit disk concerning zero sets and factorization representations of these classes and discusses approaches, used in proofs of these results.
Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc.
Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals.