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Mathematics
Other literature type . 2021
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Mathematics
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Mathematics
Article
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Mathematics
Article . 2021
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https://dx.doi.org/10.3390/mat...
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New Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 11 Nov 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 2,867 (eissn: 2227-7390, Copyright policy )
Authors: Zhu, Ling;

doi: 10.3390/math9222867

New Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean

Abstract

Let Ipx be the modified Bessel function of the first kind of order p. The upper and lower bounds in the form of simple rational functions about cosht and (sinht)/t for the function I0x are obtained. The corresponding inequalities for the Toader-Qi mean do not match those in the existing literature.

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Keywords

inequality, QA1-939, modified Bessel function of the first kind, hyperbolic function, bounds, mean, 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!
2
Average
Average
Average
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