<正>1引言设C[0,1]是[0,1]区间上全体连续函数,对非负递增实数序列Λ={λ)n}n=1∞,以Пn(Λ)表示n阶Müntz多项式空间,即{xλ1,xλ2,...,xλn}的线性组合的全体,以Rn(Λ)表示n阶Müntz有理函数空间,即
In order to more comprehensively study the rational approximation, in this paper we investigate the approximation problem of a class of M u ntz rational functions in Orlicz spaces based on the methods of the rational approximation in continuous function space and Lp space. By using the tools of K-functional and modulus of smoothness, and employing the inequality techniques, we obtain a theoretical estimation for the convergence rate of the problem, and the results of this paper have more significance than the corresponding results of Lp space and continue function space.