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

Computer, Electrical and Mathematical Sciences and Engineering

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. © 2013 Académie des sciences.

Original language	English (US)
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

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2013.10.018

Cite this

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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. {\textcopyright} 2013 Acad{\'e}mie des sciences.",

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

note = "KAUST Repository Item: Exported on 2020-10-01",

year = "2013",

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

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AU - Mazure, Marie Laurence

N1 - KAUST Repository Item: Exported on 2020-10-01

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. © 2013 Académie des sciences.

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. © 2013 Académie des sciences.

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UR - https://linkinghub.elsevier.com/retrieve/pii/S1631073X13002628

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M3 - Article

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EP - 852

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 21-22

ER -

Approximation by Müntz spaces on positive intervals

Abstract

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ASJC Scopus subject areas

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