haar space

Fetched 2026-10-26 (cache).

Synonyms: hair space, air space, half space, hard space, head space

Antonyms: hair space, air space, half space, hard space, head space

Related words from Datamuse; suggestions, not definitions.

Noun

1. {{lb|en|approximation theory}} A [[finite]]-[[dimensional]] [[subspace]] <math>V</math> of <math>\mathcal C(X, \mathbb K)</math>, where <math>X</math> is a [[compact space]] and <math>\mathbb K</math> either the [[real number]]s or the [[complex number]]s, such that for any given <math>f \in \mathcal C(X, \mathbb K)</math> there is exactly one element of <math>V</math> that approximates <math>f</math> "best", i.e. with minimum distance to <math>f</math> in supremum norm.

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