摘要
定义于区间Ｉ＝［－１，１］上的实值函数ｆ，若它的一切Ｌａｒａｎｇｅ插值多项式在ＢＭＯ（Ｉ）范数下一致有界，则称ｆ为完全ＢＭＯ－有界函数．
A real-valued function f defined on I =[-1, 1] is said to be totally BMO-bounded if there exists a positive constant M such that ‖P‖BMO(I)≤ M for eachLagrange interpolant p of f. This class of functions is studied here.
关键词
有界函数
插值多项式
完全有界函数
BMO范数
Lagrange interpolant, inverse interpolation, totally BMO-bounded func-tions
