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Interpolation in Normed Spaces from the Values of Linear Functionals
Author(s) -
Partington Jonathan R.
Publication year - 1994
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/26.2.165
Subject(s) - mathematics , interpolation (computer graphics) , interpolation space , pure mathematics , linear interpolation , functional analysis , mathematical analysis , artificial intelligence , biochemistry , chemistry , computer science , polynomial , gene , motion (physics)
Necessary and sufficient conditions are given for solution of the nonlinear interpolation problem of reconstructing an element of a normed space from corrupted functional values. Some applications are discussed.