完全BMO－有界函数

Totally BMO-Bounded Functions on [-1, 1]

英文关键词:Lagrange interpolant  inverse interpolation  totally BMO-bounded func-tions

中文摘要:

      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．本文引入这一概念并讨论这类函数的性质

英文摘要:

      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.