摘要
设A={λn}n=1∞为正的实数数列,且当n→∞时,有λn↘0．本文给出了当λn≤Mn-1/2,n=1,2,…,(其中M>0为一正常数)时Muntz系统{xλn}的有理函数在Lp[0,1]空间的逼近速度,主要结论为Rn(f,Λ)Lp≤CMω(f,n-1/2)Lp,1≤p≤∞.
∧={λn}n=1^∞ be a sequence of real numbers, and λn↓0 as n→∞. Suppose that λn≤Mn-1/2 for n=1,2,… ,Where M 〉 0 is an absolute constant. The present paper considers the Miintz rational approximation rate in L[0,1]^p spaces and gets for Rn（f,∧）Lp≤CMω（f,n-1/2）Lp for 1≤p≤∞.
基金
the National Natural Science Foundation of China(10471130)
