Chebyshev systems and Sturm oscillation theory for discrete polynomials

D. V. Gorbachev, V. I. Ivanov, S. Yu. Tikhonov

We prove an analogue of Chebyshev's alternation theorem for linearly independent discrete functions ${\Phi }_n=\{{\phi }_k{\}}_{k=1}^n$ on the interval $[0,q]_{\scriptscriptstyle\mathbb{Z}}=[0,q…