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Analog of the Riesz Identity and Sharp Inequalities for Derivatives and Differences of Splines in the Uniform Metric

Analog of the Riesz identity and sharp inequalities for derivatives and differences of splines in the uniform metric
descriptionPublicationkeyboard_double_arrow_right Article 26 Apr 2019 English Publisher:Springer Science and Business Media LLCJournal:Journal of Mathematical Sciences, volume 239, pages 268-281 (issn: 1072-3374, eissn: 1573-8795, Copyright policy )
Authors: O. L. Vinogradov;

doi: 10.1007/s10958-019-04303-z , 10.1007/s10958-020-05082-8

Analog of the Riesz Identity and Sharp Inequalities for Derivatives and Differences of Splines in the Uniform Metric

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Keywords

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Spline approximation, Bernstein inequalities, Riesz identities, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities)

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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