Markov function system
A system () of linearly independent real-valued continuous functions defined on a finite interval and satisfying the condition: For any finite the functions form a Chebyshev system on .
Examples of Markov function systems are:
a) on any interval ;
b) on ;
c) on .
|||N.I. [N.I. Akhiezer] Achiezer, "Theory of approximation" , F. Ungar (1956) (Translated from Russian)|
|[a1]||E.W. Cheney, "Introduction to approximation theory" , Chelsea, reprint (1982)|
|[a2]||W.J. Studden, "Tchebycheff systems: with applications in analysis and statistics" , Wiley (1966)|
|[a3]||H.S. Shapiro, "Topics in approximation theory" , Springer (1971)|
|[a4]||I.M. Singer, "Best approximation in normed linear spaces by elements of linear subspaces" , Springer (1970)|
Markov function system. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Markov_function_system&oldid=12310