Approximation by Müntz spaces on positive intervals

Rachid Ait-Haddou; Marie Laurence Mazure

doi:10.1016/j.crma.2013.10.018

Approximation by Müntz spaces on positive intervals

Rachid Ait-Haddou^*, Marie Laurence Mazure

^*Corresponding author for this work

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

5 Scopus citations

Abstract

The so-called Bernstein operators were introduced by S.N. Bernstein in 1912 to give a constructive proof of Weierstrass' theorem. We show how to extend his result to Müntz spaces on positive intervals.

Original language	English
Pages (from-to)	849-852
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	351
Issue number	21-22
DOIs	https://doi.org/10.1016/j.crma.2013.10.018
State	Published - Nov 2013
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1016/j.crma.2013.10.018

Cite this

@article{de8cc518c8bd44649618345f94beff18,

title = "Approximation by M{\"u}ntz spaces on positive intervals",

abstract = "The so-called Bernstein operators were introduced by S.N. Bernstein in 1912 to give a constructive proof of Weierstrass' theorem. We show how to extend his result to M{\"u}ntz spaces on positive intervals.",

author = "Rachid Ait-Haddou and Mazure, \{Marie Laurence\}",

year = "2013",

month = nov,

doi = "10.1016/j.crma.2013.10.018",

language = "English",

volume = "351",

pages = "849--852",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "21-22",

}

TY - JOUR

T1 - Approximation by Müntz spaces on positive intervals

AU - Ait-Haddou, Rachid

AU - Mazure, Marie Laurence

PY - 2013/11

Y1 - 2013/11

N2 - The so-called Bernstein operators were introduced by S.N. Bernstein in 1912 to give a constructive proof of Weierstrass' theorem. We show how to extend his result to Müntz spaces on positive intervals.

AB - The so-called Bernstein operators were introduced by S.N. Bernstein in 1912 to give a constructive proof of Weierstrass' theorem. We show how to extend his result to Müntz spaces on positive intervals.

UR - https://www.scopus.com/pages/publications/84888059061

U2 - 10.1016/j.crma.2013.10.018

DO - 10.1016/j.crma.2013.10.018

M3 - Article

AN - SCOPUS:84888059061

SN - 1631-073X

VL - 351

SP - 849

EP - 852

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 21-22

ER -

Approximation by Müntz spaces on positive intervals

Abstract

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this