The Natural Approaches of Shafer-Fink Inequality for Inverse Sine Function

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

Mathematics, 2022, vol. 10, issue 4, 1-8

Abstract: In this paper, we obtain some new natural approaches of Shafer-Fink inequality for arc sine function and the square of arc sine function by using the power series expansions of certain functions, which generalize and strengthen those in the existing literature.

Keywords: sharp double inequality of Shafer-Fink; arc sine function; the square of arc sine function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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