关于一类Müntz有理逼近的点态估计

On Pointwise Estimate for a Class of Müntz Rational Approximation

给定M>0,设Λ={λn}n=1∞是一非负实数序列,满足λn+1-λn≥Mnlnn对所有的n≥1成立,本文给出了Müntz系统{xλn}的有理逼近在区间[0,1]之右端点1处的点态估计.

Given M 〉 0 suppose a nonnegative increasing sequence of real number A={λn}∞n=1 such that λn＋1-λn≥Mn In n for all n≥1,the pointwise estimate near the endpoint 1 of the interval [0,1] for the rational approximation of Mfintz system {xan } is given.