GENERALIZATION OF s-GODUNOVA–LEVIN FUNCTIONS THROUGH FRACTAL SETS AND SOME INEQUALITIES

Rainier Vicente Sã Nchez Camacho, Ribelly Estrella Salazar (), Jos㉠Eduardo Sanabria (), BONILLA-NÚÑEZ Marileidy () and Armando Jos㉠Garcã A-Ortiz
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Rainier Vicente Sã Nchez Camacho: Universidad Tecnológica del Cibao Oriental, Cotui, República Dominicana†Instituto Superior de Formación Docente Salomé Ureña, Recinto Luis Napoleón Núñez Molina, Provincia Santiago, República Dominicana
Ribelly Estrella Salazar: ��Instituto Superior de Formación Docente Salomé Ureña, Recinto Luis Napoleón Núñez Molina, Provincia Santiago, República Dominicana
Jos㉠Eduardo Sanabria: ��Departamento de Matemáticas, Universidad de Sucre, Sincelejo, Colombia
BONILLA-NÚÑEZ Marileidy: ��Instituto Superior de Formación Docente Salomé Ureña, Recinto Luis Napoleón Núñez Molina, Provincia Santiago, República Dominicana
Armando Jos㉠Garcã A-Ortiz: Universidad Tecnológica del Cibao Oriental, Cotui, República Dominicana†Instituto Superior de Formación Docente Salomé Ureña, Recinto Luis Napoleón Núñez Molina, Provincia Santiago, República Dominicana

FRACTALS (fractals), 2025, vol. 33, issue 07, 1-18

Abstract: In this paper, we introduce the concept of generalized s-Godunova–Levin function on the fractal set ℠α, where 0 < α ≤ 1 is the fractal dimension, and some of its properties are studied. Furthermore, we use the local fractional calculus proposed by Yang to establish inequalities of the Hermite–Hadamard, Fejér, and Jensen type.

Keywords: Fractal Sets; s-Godunova–Levin Function; Generalized s-Godunova–Levin Function; Godunova–Levin Function (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25300028

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