Haar space explained

In approximation theory, a Haar space or Chebyshev space is a finite-dimensional subspace

V

of

lC(X,K)

, where

X

is a compact space and

K

either the real numbers or the complex numbers, such that for any given

f\inlC(X,K)

there is exactly one element of

V

that approximates

f

"best", i.e. with minimum distance to

f

in supremum norm.

References

[1]

Notes and References

  1. Book: Shapiro, Harold . 1971 . Topics in Approximation Theory . Springer . 19–22 . 3-540-05376-X.