限定系数的Markov-Bernstein型不等式

Markov-Bernstein Type Inequality with Ristricted Coefficient

为了研究Markov-Bernstein型不等式在代数多项式的系数限定后有何改进,该文将代数多项式的系数限定在集合IN:={-N,-N+1,…,0,…N-1,N}上,其中N∈Z,N≥1,从而得到了Markov型不等式的一种改进.

In order to study the improvement of the Markov-Bernstein-type inequality for algebraic polynomials with restricted coefficient. The paper restricts these coefficients on IN：={-N,-N＋1,…,0,…N-1,N）, N ∈ Z, N≥1, and gets a new result.