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Karpatsʹkì Matematičnì Publìkacìï
Article . 2022 . Peer-reviewed
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Karpatsʹkì Matematičnì Publìkacìï
Article . 2022
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Bernstein-Nikol'skii-type inequalities for trigonometric polynomials

descriptionPublicationkeyboard_double_arrow_right Article 17 Jun 2022Publisher:Vasyl Stefanyk Precarpathian National UniversityJournal:Carpathian Mathematical Publications, volume 14, pages 147-157 (issn: 2075-9827, eissn: 2313-0210, Copyright policy )
Authors: H.M. Vlasyk; V.V. Sobchuk; V.V. Shkapa; I.V. Zamrii;

doi: 10.15330/cmp.14.1.147-157

Bernstein-Nikol'skii-type inequalities for trigonometric polynomials

Abstract

We obtain order estimates for Bernstein-Nikol’skii-type inequalities for trigonometric polynomials with an arbitrary choice of harmonics. It is established that in the case $ q = \infty $, $ 1 <p \leq2 $ these inequalities for trigonometric polynomials with arbitrary choice of harmonics and for ordinary trigonometric polynomials has different order of estimates.

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Keywords

bernstein-nikol'skii inequality, $(\psi, \beta)$-derivative, QA1-939, Mathematics

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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!
1
Average
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