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AIMS Mathematics
Article . 2021 . Peer-reviewed
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AIMS Mathematics
Article
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AIMS Mathematics
Article . 2021
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Article . 2021
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https://dx.doi.org/10.3934/mat...
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Claim

Optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2021Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 6, pages 13,024-13,040 (issn: 2473-6988, Copyright policy )
Authors: Ling Zhu; Branko Malešević;

doi: 10.3934/math.2021753

Optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type

Abstract

<abstract><p>In this paper, optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type are established using the monotone form of L'Hospital's rule and the criterion for the monotonicity of the quotient of power series.</p></abstract>

Related Organizations
Keywords

Seiffert-like means, sine mean, QA1-939, hyperbolic tangent mean, Inequalities for sums, series and integrals, centroidal mean, bounds, seiffert-like means, Mathematics, arithmetic mean

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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!
2
Average
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Average
gold