Interpolation of maps with values in semilinear space

V.F. Babenko; M.V. Polishchuk

doi:10.15421/241306

Interpolation of maps with values in semilinear space

V.F. Babenko (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0001-6677-1914
M.V. Polishchuk (Oles Honchar Dnipropetrovsk National University)

Abstract

Several known results about exact errors of piecewise linear interpolation of maps from $$$f\colon {\mathbb{R}}^n \rightarrow {\mathbb{R}^m}$$$ class are generalized to classes of set-valued mappings with given convex majorant of moduli of continuity.

Keywords

set-valued maps; interpolation; interpolation error; optimization

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