Interpolation of maps with values in semilinear space

V.F. Babenko (Oles Honchar Dnipropetrovsk National University),
M.V. Polishchuk (Oles Honchar Dnipropetrovsk National University)


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.


set-valued maps; interpolation; interpolation error; optimization


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