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Optimal bounds for two Seiffert–like means in exponential type
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2021-07-08 , DOI: 10.1016/j.jmaa.2021.125475
Ling Zhu 1
Affiliation  

In this paper, using the monotone form of L'Hôspital's rule and the criterion for the monotonicity of the quotient of power series the exponential inequalities are established for two Seiffert–like means (tangent mean and hyperbolic sine mean) bounded by arithmetic mean and harmonic mean.



中文翻译:

指数型中两个 Seiffert 样均值的最优边界

在本文中,使用 L'Hôspital 规则的单调形式和幂级数商的单调性准则,建立了以算术平均值和调和为界的两个类 Seiffert 均值(正切均值和双曲正弦均值)的指数不等式吝啬的。

更新日期:2021-07-15
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