关于正系数多项式导数的点态不等式

THE POINTWISE INEQUALITY FOR DERIVATIVES OF POLYNOMIALS WITH POSITIVE COEFFICIENTS

本文讨论正系数多项式导致的点态不等式，我们建立以下的定理定理若ｆ（ｘ）∈Ⅱ，则有其中Ｈ是ｎ次正系数多项式的全体，

This note discuss the pointwise inequality for derivatives of polynomials with positive coefficients. We establish the following theorem.Theorem. If f(x) ∈,thenwhere is the class of polynomials of degree n with positive coefficignts, is the Lp-norm on [- 1, 1],and C. is a constant depending upon r only.