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

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

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.

Bibliographic Details
Main Authors: Ling Zhu, Branko Malešević
Format: Article
Language:English
Published: AIMS Press 2021-09-01
Series:AIMS Mathematics
Subjects:
bounds
seiffert-like means
sine mean
hyperbolic tangent mean
arithmetic mean
centroidal mean
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021753?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.2021753?viewType=HTML

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