Asymptotic theory of the Orthogonal Polynomials Entropy

Abstract:

We give a survey on fifteen years history of asymptotical theory of entropy of orthogonal polynomials. We start with a method based on asymptotics of L_{p} norms of orthogonal polynomials (when n → ∞). Then we discuss recent results and open problem concerning the entropy of orthogonal polynomials in Szeg¨o class. Finally, we touch new statements concerning asymptotics of discrete entropy of orthogonal polynomials.

Publication language:english

Research direction:

Mathematical problems and theory of numerical methods