Optimal bounds for the tangent and hyperbolic sine means III

In this note, the most accurate possible bounds for the tangent and hyperbolic sine means are established. These bounds are articulated using diverse weighted combinations of the arithmetic mean and the minimum mean.

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Publication Details

Journal
Constructive Mathematical Analysis
Published
2026-06-16
DOI
https://doi.org/10.33205/cma.1667818
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Optimal bounds for the tangent and hyperbolic sine means III

Alfred Witkowski, Monika Nowicka
Constructive Mathematical Analysis
Mathematical Inequalities and Applications
article

Optimal bounds for the tangent and hyperbolic sine means III

Alfred Witkowski, Monika Nowicka
article en

Abstract

In this note, the most accurate possible bounds for the tangent and hyperbolic sine means are established. These bounds are articulated using diverse weighted combinations of the arithmetic mean and the minimum mean.

Constructive Mathematical AnalysisVol. 9(2)
Bydgoszcz University of Science and Technology (PL), Wisdom Health (United States) (US)
Openalex Percentile: Top 4%
Mathematical Inequalities and Applications
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