Jordan-Type Inequalities and Stratification - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Axioms Année : 2024

Jordan-Type Inequalities and Stratification

Résumé

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.
Fichier principal
Vignette du fichier
axioms-13-00262.pdf (10.1 Mo) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-04498585 , version 1 (11-03-2024)
hal-04498585 , version 2 (24-04-2024)

Identifiants

Citer

Miloš Mićović, Branko Malešević. Jordan-Type Inequalities and Stratification. Axioms, 2024, 13 (4), ⟨10.3390/axioms13040262⟩. ⟨hal-04498585v2⟩
0 Consultations
1 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More