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Totally BMO-Bounded Functions on [-1, 1]
Received:August 18, 1992
Key Words
:
Lagrange interpolant
inverse interpolation
totally BMO-bounded func-tions
Fund Project
:
Author Name
Affiliation
He Songnian
Dept. of Math.
Shanghai University of Science and Technology
201800
Yang Caiping
Dept. of Math.
Shanxi University
Taiyuan
030006
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Abstract
:
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.
Citation:
DOI
:
10.3770/j.issn:1000-341X.1995.02.011
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