Favard theorem
From Encyclopedia of Mathematics
on orthogonal systems
If the following recurrence relation holds for real numbers 
and 
:
 |
 |
then there is a function 
of bounded variation such that
 |
It was established by J. Favard [1]. Sometimes this result is also linked with the name of J. Shohat.
References
| [1] | J. Favard, "Sur les polynomes de Tchebicheff" C.R. Acad. Sci. Paris , 200 (1935) pp. 2052–2053 |
| [2] | G. Szegö, "Orthogonal polynomials" , Amer. Math. Soc. (1975) |
How to Cite This Entry:
Favard theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Favard_theorem&oldid=32576
Favard theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Favard_theorem&oldid=32576
This article was adapted from an original article by Yu.N. Subbotin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article