Interpolation by Convex Algebraic Hypersurfaces

Eugenii Shustin

doi:10.1006/jath.1996.3023

Interpolation by Convex Algebraic Hypersurfaces

Eugenii Shustin^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

LetΣbe the set of vertices of a convex non-degenerate polyhedron inRⁿ,n≥2. We suggest an algorithm to construct smooth convex algebraic hypersurfaces of degree as small as possible, going throughΣ.

Original language	English
Pages (from-to)	304-315
Number of pages	12
Journal	Journal of Approximation Theory
Volume	88
Issue number	3
DOIs	https://doi.org/10.1006/jath.1996.3023
State	Published - Mar 1997

Access to Document

10.1006/jath.1996.3023

Cite this

@article{368742354dc14834851944ecdeca47e8,

title = "Interpolation by Convex Algebraic Hypersurfaces",

abstract = "LetΣbe the set of vertices of a convex non-degenerate polyhedron inRn,n≥2. We suggest an algorithm to construct smooth convex algebraic hypersurfaces of degree as small as possible, going throughΣ.",

author = "Eugenii Shustin",

year = "1997",

month = mar,

doi = "10.1006/jath.1996.3023",

language = "אנגלית",

volume = "88",

pages = "304--315",

journal = "Journal of Approximation Theory",

issn = "0021-9045",

publisher = "Academic Press Inc.",

number = "3",

}

TY - JOUR

T1 - Interpolation by Convex Algebraic Hypersurfaces

AU - Shustin, Eugenii

PY - 1997/3

Y1 - 1997/3

N2 - LetΣbe the set of vertices of a convex non-degenerate polyhedron inRn,n≥2. We suggest an algorithm to construct smooth convex algebraic hypersurfaces of degree as small as possible, going throughΣ.

AB - LetΣbe the set of vertices of a convex non-degenerate polyhedron inRn,n≥2. We suggest an algorithm to construct smooth convex algebraic hypersurfaces of degree as small as possible, going throughΣ.

UR - http://www.scopus.com/inward/record.url?scp=0038877261&partnerID=8YFLogxK

U2 - 10.1006/jath.1996.3023

DO - 10.1006/jath.1996.3023

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0038877261

SN - 0021-9045

VL - 88

SP - 304

EP - 315

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

IS - 3

ER -

Interpolation by Convex Algebraic Hypersurfaces

Abstract

Access to Document

Other files and links

Fingerprint

Cite this