“Hellinger integral”的意思、由来-开放百科全书

词条

Hellinger integral

释义

References

In mathematics, the Hellinger integral is an integral introduced by {{harvs|txt|last=Hellinger|authorlink=Ernst Hellinger|year=1909}} that is a special case of the Kolmogorov integral. It is used to define the Hellinger distance in probability theory.

References

{{Citation

| last = Hellinger
| first = E.
| author-link = Ernst Hellinger
| title = Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen
| url = http://resolver.sub.uni-goettingen.de/purl?GDZPPN002166941
| year = 1909
| journal = Journal für die reine und angewandte Mathematik
| language = German
| volume = 136
| pages = 210–271
| jfm = 40.0393.01
| doi=10.1515/crll.1909.136.210
}}

{{Citation

| last1 = Hobson
| first1 = E. W.
| title = The theory of functions of a real variable and the theory of Fourier's series. Vol. I
| url=https://books.google.com/books?id=LCc9AAAAIAAJ
| publisher = Dover Publications
| location = New York
| pages = XV+736
| mr = 0092828
| zbl = 0081.27702
| year = 1958}}

{{eom|title=Hellinger integral|id=h/h046900|first=I. A.|last= Vinogradova}}

1 : Definitions of mathematical integration

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