Walsh Equiconvergence of Complex Interpolating Polynomials

• Main Authors: Jakimovski, Amnon (Author), Sharma, Ambikeshwar (Author), Szabados, József (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2006.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Approximation theory.; Functions of complex variables.; Sequences (Mathematics).; Approximations and Expansions.; Analysis.; Functions of a Complex Variable.; Sequences, Series, Summability.; Several Complex Variables and Analytic Spaces.

Table of Contents:

• Lagrange Interpolation and Walsh Equiconvergence
• Hermite and Hermite-Birkhoff Interpolation and Walsh Equiconvergence
• A Generalization of the Taylor Series to Rational Functions and Walsh Equiconvergence
• Sharpness Results
• Converse Results
• Padé Approximation and Walsh Equiconvergence for Meromorphic Functions with ?–Poles
• Quantitative Results in the Equiconvergence of Approximation of Meromorphic Functions
• Equiconvergence for Functions Analytic in an Ellipse
• Walsh Equiconvergence Theorems for the Faber Series
• Equiconvergence on Lemniscates
• Walsh Equiconvergence and Equisummability.