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Mathematical Notes
Article . 1968 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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https://dx.doi.org/10.1007/bf0...
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Kolmogorov-type inequalities and the best formulas for numerical differentiation

Kolmogorov-type inequalities and best formulas for numerical differentiation
descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1968 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 4, pages 631-634 (issn: 0001-4346, eissn: 1573-8876, Copyright policy )
Authors: Taĭkov, L. V.;

doi: 10.1007/bf01094964

Kolmogorov-type inequalities and the best formulas for numerical differentiation

Abstract

For a certain class of complex-valued functionsf(x), −∞ 0. Using the value uN, the smallest constant Q in the inequality $$\parallel f^{(k)} \parallel _Q \leqslant Q\parallel f\parallel _{L_2 }^\alpha \parallel f^{(n)} \parallel _{L_2 }^\beta $$ is found.

Related Organizations
Keywords

Best approximation, Chebyshev systems, Approximation by operators (in particular, by integral operators), Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), General theory of linear operators

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selected citations
These citations are derived from selected sources.
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.
BIP!Impulse provided by BIP!
24
Top 10%
Top 10%
Average
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