Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Jordan-Type Inequalities and Stratification

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

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