Overinterpolation

Dan Coman; Evgeny A. Poletsky

doi:10.1016/j.jmaa.2007.01.052

Overinterpolation

Dan Coman, Evgeny A. Poletsky

Department of Mathematics

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

1 Scopus citations

Abstract

In this paper we study the consequences of overinterpolation, i.e., the situation when a function can be interpolated by polynomial, or rational, or algebraic functions in more points than normally expected. We show that in many cases such function has specific forms.

Original language	English (US)
Pages (from-to)	184-197
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	335
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2007.01.052
State	Published - Nov 1 2007

Keywords

Interpolation
Overconvergence
Overinterpolation

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2007.01.052

Cite this

@article{0b57ea26f82840148f6676185c716201,

title = "Overinterpolation",

abstract = "In this paper we study the consequences of overinterpolation, i.e., the situation when a function can be interpolated by polynomial, or rational, or algebraic functions in more points than normally expected. We show that in many cases such function has specific forms.",

keywords = "Interpolation, Overconvergence, Overinterpolation",

author = "Dan Coman and Poletsky, {Evgeny A.}",

note = "Funding Information: Both authors are supported by NSF Grants. Corresponding author. E-mail addresses: [email protected] (D. Coman), [email protected] (E.A. Poletsky).",

year = "2007",

month = nov,

day = "1",

doi = "10.1016/j.jmaa.2007.01.052",

language = "English (US)",

volume = "335",

pages = "184--197",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Overinterpolation

AU - Coman, Dan

AU - Poletsky, Evgeny A.

N1 - Funding Information: Both authors are supported by NSF Grants. Corresponding author. E-mail addresses: [email protected] (D. Coman), [email protected] (E.A. Poletsky).

PY - 2007/11/1

Y1 - 2007/11/1

N2 - In this paper we study the consequences of overinterpolation, i.e., the situation when a function can be interpolated by polynomial, or rational, or algebraic functions in more points than normally expected. We show that in many cases such function has specific forms.

AB - In this paper we study the consequences of overinterpolation, i.e., the situation when a function can be interpolated by polynomial, or rational, or algebraic functions in more points than normally expected. We show that in many cases such function has specific forms.

KW - Interpolation

KW - Overconvergence

KW - Overinterpolation

UR - http://www.scopus.com/inward/record.url?scp=34347205994&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34347205994&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2007.01.052

DO - 10.1016/j.jmaa.2007.01.052

M3 - Article

AN - SCOPUS:34347205994

SN - 0022-247X

VL - 335

SP - 184

EP - 197

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Overinterpolation

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this