A double inequality for tanh x

Journal of Inequalities and Applications(2020)

引用 4|浏览14
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摘要
In this paper, we prove that, for x>0 , √(1-exp(-x^2/√(x^2+1)))< tanh x< √(1-exp(- x^3/√(x^3+1))). This solves an open problem proposed by Ivády.
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关键词
26D07, Inequality, Exponential function, Hyperbolic function
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