Open AccessOn D-invariant points and local Taylor interpolation on algebraic hypersurfaces in RN
Author(s) -
Manh Phung Van,
T.H.O Vo Van,
Phan Thanh Tung,
Le Ngoc Cuong
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2114715m
Subject(s) - mathematics , hypersurface , invariant (physics) , algebraic number , projector , pure mathematics , quadratic equation , taylor series , interpolation (computer graphics) , mathematical analysis , geometry , mathematical physics , image (mathematics) , artificial intelligence , computer science , computer vision
We give the definition of D-invariant points on an irreducible algebraic hypersurface V in RN. We show that every regular point on irreducible quadratic hypersurface in RN is D-invariant. We prove that the local Taylor interpolation projector at a regular point a 2 V is an ideal projector if and only if a is D-invariant.