On D-invariant points and local Taylor interpolation on algebraic hypersurfaces in RN | Zendy

Manh Phung Van | Zendy; T.H.O Vo Van | Zendy; Phan Thanh Tung | Zendy; Le Ngoc Cuong | Zendy

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On 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.

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