New Inequalities of Cusa–Huygens Type

Ling Zhu
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Ling Zhu: Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China

Mathematics, 2021, vol. 9, issue 17, 1-13

Abstract: Using the power series expansions of the functions cot x , 1 / sin x and 1 / sin 2 x , and the estimate of the ratio of two adjacent even-indexed Bernoulli numbers, we improve Cusa–Huygens inequality in two directions on 0 , ? / 2 . Our results are much better than those in the existing literature.

Keywords: sharp the double inequalities of Cusa–Huygens type; circular functions; Bernoulli numbers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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