New Polynomial Bounds for Jordan’s and Kober’s Inequalities Based on the Interpolation and Approximation Method

Lina Zhang and Xuesi Ma
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Lina Zhang: School of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454000, China
Xuesi Ma: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China

Mathematics, 2019, vol. 7, issue 8, 1-9

Abstract: In this paper, new refinements and improvements of Jordan’s and Kober’s inequalities are presented. We give new polynomial bounds for the s i n c ( x ) and cos ( x ) functions based on the interpolation and approximation method. The results show that our bounds are tighter than the previous methods.

Keywords: Jordan’s inequality; Kober’s inequality; polynomial; bounds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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