Advertisement

Linear Approximation

  • Günter Meinardus
Chapter
Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 13)

Abstract

Let R be a normed linear space of elements f, g, ... over the field of real or complex numbers, and let the symbol ||f|| denote the norm of f. In addition, let V be a finite dimensional linear subspace of R. The general linear approximation problem is as follows:

For a given fR determine an element gV such that
$$||g - f|| \leqq ||h - f||$$
(1.1)
for all hV.

Keywords

Extremal Point Entire Function Polynomial Approximation Real Interval Bernstein Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin · Heidelberg 1967

Authors and Affiliations

  • Günter Meinardus
    • 1
  1. 1.Institut für MathematikTechnischen Hochschule ClausthalClausthal-ZellerfeldGermany

Personalised recommendations