The error at interpolation of some classes of multivariable functions by multifaceted functions and multilinear splines

V.F. Babenko; T.Yu. Leskevich

doi:10.15421/241206

The error at interpolation of some classes of multivariable functions by multifaceted functions and multilinear splines

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

Abstract

For functions defined on $$$n$$$-dimensional parallelepiped from classes determined by given upwards full module of continuity, the exact value of error of interpolation by multifaceted functions and multilinear splines is obtained.

Keywords

multifaceted function; multilinear function; spline; error; interpolation; full module of continuity

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References

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