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Sharp inequalities for tangent function with applications

Journal of Inequalities and Applications (2017) 2017
DOI: 10.1186/s13660-017-1372-5
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Abstract

In the article, we present new bounds for the function etcot(t)−1 on the interval (0 , π/ 2) and find sharp estimations for the Sine integral and the Catalan constant based on a new monotonicity criterion for the quotient of power series, which refine the Redheffer and Becker-Stark type inequalities for tangent function.

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Lv, H. L., Yang, Z. H., Luo, T. Q., & Zheng, S. Z. (2017). Sharp inequalities for tangent function with applications. Journal of Inequalities and Applications, 2017. https://doi.org/10.1186/s13660-017-1372-5

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