Three Inequalities Involving Hyperbolically Trigonometric Functions

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Chen, Chao-Ping, Zhao, Jian-Wei and Qi, Feng (2003) Three Inequalities Involving Hyperbolically Trigonometric Functions. RGMIA research report collection, 6 (3).

Abstract

In the short note, by using mathematical induction and infinite product representations of the cosine function, hyperbolic sine function and hyperbolic cosine function, three inequalities for the cosine function, hyperbolic sine function and hyperbolic cosine function are established.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17850
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords inequality, cosine function, hyperbolic sine function, hyperbolic cosine function, infinite product representation, mathematical induction
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