Fine Art


In mathematics, the Hellinger integral is an integral introduced by Hellinger (1909) that is a special case of the Kolmogorov integral. It is used to define the Hellinger distance in probability theory.


Hellinger, E. (1909), "Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen", Journal für die reine und angewandte Mathematik (in German) 136: 210–271, doi:10.1515/crll.1909.136.210, JFM 40.0393.01
Hobson, E. W. (1958), The theory of functions of a real variable and the theory of Fourier's series. Vol. I, New York: Dover Publications, pp. XV+736, MR 0092828, Zbl 0081.27702
Vinogradova, I. A. (2001), "Hellinger integral", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4

Undergraduate Texts in Mathematics

Graduate Texts in Mathematics

Graduate Studies in Mathematics

Mathematics Encyclopedia

Retrieved from ""
All text is available under the terms of the GNU Free Documentation License

Home - Hellenica World