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Jordan-Type Inequalities and Stratification
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Version 1
: Received: 7 March 2024 / Approved: 25 March 2024 / Online: 28 March 2024 (05:03:41 CET)
A peer-reviewed article of this Preprint also exists.
Mićović, M.; Malešević, B. Jordan-Type Inequalities and Stratification. Axioms 2024, 13, 262. Mićović, M.; Malešević, B. Jordan-Type Inequalities and Stratification. Axioms 2024, 13, 262.
Abstract
In this paper, two double Jordan-type inequalities are introduced based on the papers [1]-[5]. These inequalities generalize the inequalities obtained in [1]-[5]. As a result, some new upper and lower bounds of the sinc function are obtained. This extension of Jordan’s inequality is enabled by considering the corresponding inequalities through the concept of stratified families of functions elaborated in [6]. Based on this approach, some optimal approximations of the sinc function are derived by determining corresponding minimax approximants, also described in the paper [6].
Keywords
Jordan’s inequality; stratified families of functions; a minimax approximant; upper and lower bounds of the sinc function; approximations of the sinc function
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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