Jordan-Type Inequalities and Stratification-Reference-Cited by-同舟云学术

Jordan-Type Inequalities and Stratification

Published:2024-04-14 Issue:4 Volume:13 Page:262
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Mićović Miloš¹^ORCID,Malešević Branko¹^ORCID

Affiliation:

1. School of Electrical Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, 11000 Belgrade, Serbia

Abstract

In this paper, two double Jordan-type inequalities are introduced that generalize some previously established inequalities. As a result, some new upper and lower bounds and approximations 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. Based on this approach, some optimal approximations of the sinc function are derived by determining the corresponding minimax approximants.

Funder

Ministry of Science, Technological Development, and Innovation of the Republic of Serbia

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/4/262/pdf

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