P．Turán问题XXXV的一个注记

A Noe to Problem XXXV of P.Turan

本文给出了有关Ｐ．Ｔｕｒáｎ，问题ＸＸＸＶ［关于逼近论的某些未解决的问题，Ｊ．ＡｐｐｒｏｘｉｍａｔｉｏｎＴｈｅｏｒｙ，１９８０，２９（１）：２３－８５］的一个结果．设ｒ＿（ｉｎ）（ｘ）为（０，２）插值的第一类基函数，其插值节点为（１－ｘ）（ｘ）之零点而Ｐ＿ｎ（ｘ）为ｎ次Ｌｅｇｅｎｄｒｅ多项式．那么．

In this paper,we give the following result concerning Problem XXXV。of P. Turan￣[5]. Let rin ￣(x) be the fundamental polynomials of the first kind for (0,2)-interpolation based on the zeros x_(in) of the polynomial where P_n(x)stands for the n-th Legendre polynomial.Then max