Reproducing kernel Hilbert space
id:
reproducing-kernel-hilbert-space-180-9672999
title:
Reproducing kernel Hilbert space
text:
In functional analysis, a reproducing kernel Hilbert space (RKHS) is a Hilbert space of functions in which point evaluation is a continuous linear functional. Roughly speaking, this means that if two functions f and g in the RKHS are close in norm, i.e., ‖ f − g ‖ is small, then f and g are also pointwise close, i.e., | f − g | is small for all x. The converse does not need to be true. Informally, this can be shown by looking at the supremum norm: the sequence of functions sin 2 n converges po
brand slug:
wiki
category slug:
encyclopedia
description:
In functional analysis, a Hilbert space
original url:
https://en.wikipedia.org/wiki/Reproducing_kernel_Hilbert_space
date created:
2004-05-13T02:07:11Z
date modified:
2024-09-05T09:19:07Z
main entity:
{"identifier":"Q3345678","url":"https://www.wikidata.org/entity/Q3345678"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/6/65/Different_Views_on_RKHS.png","width":415,"height":300}
fields total:
13
integrity:
16