On the Markov inequality in the L2-norm with the Gegenbauer weight
dc.bibliographicCitation.seriesTitle | Oberwolfach Preprints (OWP) | eng |
dc.bibliographicCitation.volume | 2017-05 | |
dc.contributor.author | Nikolov, Geno P. | |
dc.contributor.author | Shadrin, Alexei | |
dc.date.available | 2019-06-28T08:06:06Z | |
dc.date.issued | 2017 | |
dc.description.abstract | Let wλ(t):=(1−t2)λ−1/2, where λ>−12, be the Gegenbauer weight function, let ∥⋅∥wλ be the associated L2-norm, |f∥wλ={∫1−1|f(x)|2wλ(x)dx}1/2, and denote by Pn the space of algebraic polynomials of degree ≤n. We study the best constant cn(λ) in the Markov inequality in this norm ∥p′n∥wλ≤cn(λ)∥pn∥wλ,pn∈Pn, namely the constant cn(λ):=suppn∈Pn∥p′n∥wλ∥pn∥wλ. We derive explicit lower and upper bounds for the Markov constant cn(λ), which are valid for all n and λ. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 1864-7596 | |
dc.identifier.uri | https://doi.org/10.34657/2892 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2375 | |
dc.language.iso | eng | eng |
dc.publisher | Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach | eng |
dc.relation.doi | https://doi.org/10.14760/OWP-2017-05 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Markov type inequalities | eng |
dc.subject.other | Gegenbauer polynomials | eng |
dc.subject.other | matrix norms | eng |
dc.title | On the Markov inequality in the L2-norm with the Gegenbauer weight | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | MFO | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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