Several sharp inequalities involving (hyperbolic) tangent, tanc, cosine, and their reciprocals

Abstract In the paper, in view of two monotonicity rules for the ratios of two functions and of two Maclaurin power series expansions, the authors establish several sharp inequalities involving (hyperbolic) tangent, tanc, cosine, and their reciprocals.

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Publication Details

Journal
Mathematica Slovaca
Published
2024-12-01
DOI
https://doi.org/10.1515/ms-2024-0104
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

Several sharp inequalities involving (hyperbolic) tangent, tanc, cosine, and their reciprocals

Wen Hui Li, Bai‐Ni Guo
Mathematica Slovaca
Mathematical Inequalities and Applications
article

Several sharp inequalities involving (hyperbolic) tangent, tanc, cosine, and their reciprocals

Wen Hui Li, Bai‐Ni Guo
article en

Abstract

Abstract In the paper, in view of two monotonicity rules for the ratios of two functions and of two Maclaurin power series expansions, the authors establish several sharp inequalities involving (hyperbolic) tangent, tanc, cosine, and their reciprocals.

Mathematica SlovacaVol. 74(6)
Kaifeng University (CN), Henan Polytechnic University (CN)
Reduced inequalities
Openalex Percentile: Top 63%
Mathematical Inequalities and Applications
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Several sharp inequalities involving (hyperbolic) tangent, tanc, cosine, and their reciprocals — Wen Hui Li, Bai‐Ni Guo · Mathematica Slovaca (2024) | TGRS Research Map | TGRS