On D-invariant points and local Taylor interpolation on algebraic hypersurfaces in R N
Filomat, Tome 35 (2021) no. 14, p. 4715
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We give the definition of D-invariant points on an irreducible algebraic hypersurface V in R N. We show that every regular point on irreducible quadratic hypersurface in R N is D-invariant. We prove that the local Taylor interpolation projector at a regular point a ∈ V is an ideal projector if and only if a is D-invariant
Classification :
41A05, 41A63
Keywords: D-invariant points, Local Taylor interpolation, Least spaces
Keywords: D-invariant points, Local Taylor interpolation, Least spaces
Phung Van Manh; Nguyen Van Trao; Phan Thanh Tung; Le Ngoc Cuong. On D-invariant points and local Taylor interpolation on algebraic hypersurfaces in R N. Filomat, Tome 35 (2021) no. 14, p. 4715 . doi: 10.2298/FIL2114715M
@article{10_2298_FIL2114715M,
author = {Phung Van Manh and Nguyen Van Trao and Phan Thanh Tung and Le Ngoc Cuong},
title = {On {D-invariant} points and local {Taylor} interpolation on algebraic hypersurfaces in {R} {N}},
journal = {Filomat},
pages = {4715 },
year = {2021},
volume = {35},
number = {14},
doi = {10.2298/FIL2114715M},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114715M/}
}
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