Miklos Schweitzer 1970_8
Source:
October 22, 2008
algebrapolynomialreal analysisreal analysis unsolved
Problem Statement
Let be a polynomial of degree not exceeding with real coefficients such that |\pi_n(x)| \leq \sqrt{1\minus{}x^2}
\;\textrm{for}\ \;\minus{}1\leq x \leq 1 \ . Then |\pi'_n(x)| \leq 2(n\minus{}1).
P. Turan