Open AccessOptimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type
Author(s) -
Ling Zhu,
Branko Malešević
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021753
Subject(s) - mathematics , hyperbolic function , tangent , exponential function , monotonic function , sine , monotone polygon , arithmetic , mathematical analysis , geometry
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.