ASYMPTOTIC PROPERTIES OF POLYNOMIALS WITH AUXILIARY CONDITIONS OF INTERPOLATION

Abstract

Let a closed bounded point set E be given in the z-plane. Necessary and sufficient conditions are found for validity of the following: given assigned conditions of interpolation in a finite number of points: pn(zk) = Ank; there exists a sequence of polynomials pn(z) satisfying these conditions and lim sup max pn(z) , z on E 1/n = (E), where (E) is the transfinite diameter of E. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1961
Accession Number
AD0256014

Entities

People

  • J.l. Walsh

Organizations

  • Harvard University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Diameters
  • Geometry
  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • Polynomials
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.