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 .

References

[1]	N.I. [N.I. Akhiezer] Achiezer, "Theory of approximation" , F. Ungar (1956) (Translated from Russian)

References

[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)