Open Access
Subscription Access
Open Access
Subscription Access
A Generalization of A Theorem of Paul Turan
Subscribe/Renew Journal
If P(z) is a polynomial of degree n, then
Max|z|=1 |P(z)| ≤ n Max |z|=1 |P(z)|.
In (1) equality holds if and only if P[z) has all its zeros at the origin. Inequality (1) is an immediate consequence of S.Bernstein's theorem on the derivative of a Trigonometric Polynomial. (For reference see [2]).
User
Subscription
Login to verify subscription
Font Size
Information
Abstract Views: 363
PDF Views: 0