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Mathematics
Other literature type . 2021
License: CC BY
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Mathematics
Article . 2021 . Peer-reviewed
License: CC BY
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Mathematics
Article
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Mathematics
Article . 2021
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https://dx.doi.org/10.3390/mat...
Other literature type
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New Bounds for the Sine Function and Tangent Function

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 24 Sep 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 2,373 (eissn: 2227-7390, Copyright policy )
Authors: Zhu, Ling;

doi: 10.3390/math9192373

New Bounds for the Sine Function and Tangent Function

Abstract

Using the power series expansion technique, this paper established two new inequalities for the sine function and tangent function bounded by the functions x2sin(λx)/(λx)α and x2tan(μx)/(μx)β. These results are better than the ones in the previous literature.

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Keywords

Mitrinović–Adamović-type inequality, QA1-939, circular functions, Becker–Stark-type inequality, Mathematics

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    popularity
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    		 Top 10%
    influence
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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!
3
Top 10%
Average
Average
gold