Open AccessExact values of mutual deviation of certain interpolation subspaces of Hermitian splines in uniform and integral metric
Author(s) -
T.R. Bіkkuzhyna,
V. L. Velikin
Publication year - 2014
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241402
Subject(s) - linear subspace , hermitian matrix , mathematics , interpolation (computer graphics) , differentiable function , pure mathematics , metric (unit) , mathematical analysis , physics , motion (physics) , operations management , economics , classical mechanics
We obtained exact values of mutual deviation of interpolation subspaces of Hermitian splines of arbitraty orders on the classes of continuous and continuously differentiable functions in $L_p$ spaces, $1 \leqslant p \leqslant \infty$.