Some New Results of Mitrinović–Cusa’s and Related Inequalities Based on the Interpolation and Approximation Method

Lina Zhang, Xuesi Ma and Dimitri Mugnai

Journal of Mathematics, 2021, vol. 2021, 1-13

Abstract: In this paper, new refinements and improvements of Mitrinović–Cusa’s and related inequalities are presented. First, we give new polynomial bounds for sinc(x) and cos(x) functions using the interpolation and approximation method. Based on the obtained results of the above two functions, we establish new bounds for Mitrinović–Cusa’s, Wilker’s, Huygens’, Wu–Srivastava’s, and Neuman–Sándor’s inequalities. The analysis results show that our bounds are tighter than the previous methods.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5595650

DOI: 10.1155/2021/5595650

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