Add to ORKGWe propose a method for the approximation of analytic functions on Jordan regions that is based on a Carathéodory—Fejér type of economization of the Faber series. The method turns out to be very effective if the boundary of the region is analytic. It often still works when the region degenerates to a Jordan arc. We also derive related lower and upper bounds for the error of the best approximatio
AbstractWe consider uniform polynomial approximation on [ −1, 1]. For the class of functions which a...
AbstractLet f(z) be a continuous function defined on the compact set K⊂C and let En(f)=En(f,K) be th...
AbstractLet G be a Jordan domain with a boundary curve of bounded rotation; We consider approximatio...
AbstractAlthough the Carathéodory-Fejér method for obtaining polynomial approximants on a disk is qu...
It is shown that the Caratheodory—Fejer extension of a finite geometric series can be given explicit...
Best rational approximations are notoriously difficult to compute. However, the difference between t...
AbstractGood polynomial approximations for analytic functions are potentially useful but are in shor...
AbstractA systematic description of the Carathéodory-Fejér method (CF method) is given for near-best...
Abstract. For a compact set K which is the closure of a Jordan domain, the Faber operator provides a...
In this paper the relationship between the generalized order of growth of entire functions of many c...
AbstractThe Lanczos τ-method, with perturbations proportional to Faber polynomials, is used to obtai...
Although the Caratheodory-Fejer method for obtaining polynomial approximants on a disk is quite effe...
AbstractThe Zolotarev polynomials are of importance in theoretical and practical approximation. They...
AbstractA new estimate is derived for the error committed in approximating a continuous function by ...
The aim of this thesis is derive a set of polynomials defined on simply connected domains, the Faber...
AbstractWe consider uniform polynomial approximation on [ −1, 1]. For the class of functions which a...
AbstractLet f(z) be a continuous function defined on the compact set K⊂C and let En(f)=En(f,K) be th...
AbstractLet G be a Jordan domain with a boundary curve of bounded rotation; We consider approximatio...
AbstractAlthough the Carathéodory-Fejér method for obtaining polynomial approximants on a disk is qu...
It is shown that the Caratheodory—Fejer extension of a finite geometric series can be given explicit...
Best rational approximations are notoriously difficult to compute. However, the difference between t...
AbstractGood polynomial approximations for analytic functions are potentially useful but are in shor...
AbstractA systematic description of the Carathéodory-Fejér method (CF method) is given for near-best...
Abstract. For a compact set K which is the closure of a Jordan domain, the Faber operator provides a...
In this paper the relationship between the generalized order of growth of entire functions of many c...
AbstractThe Lanczos τ-method, with perturbations proportional to Faber polynomials, is used to obtai...
Although the Caratheodory-Fejer method for obtaining polynomial approximants on a disk is quite effe...
AbstractThe Zolotarev polynomials are of importance in theoretical and practical approximation. They...
AbstractA new estimate is derived for the error committed in approximating a continuous function by ...
The aim of this thesis is derive a set of polynomials defined on simply connected domains, the Faber...
AbstractWe consider uniform polynomial approximation on [ −1, 1]. For the class of functions which a...
AbstractLet f(z) be a continuous function defined on the compact set K⊂C and let En(f)=En(f,K) be th...
AbstractLet G be a Jordan domain with a boundary curve of bounded rotation; We consider approximatio...