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

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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)

  • JOSÉ EDUARDO SANABRIA

    (��Departamento de Matemáticas, Universidad de Sucre, Sincelejo, Colombia)

  • MARILEIDY BONILLA-NÚÑEZ

    (��Instituto Superior de Formación Docente Salomé Ureña, Recinto Luis Napoleón Núñez Molina, Provincia Santiago, República Dominicana)

  • ARMANDO JOSÉ GARCà 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)

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.

Suggested Citation

  • Rainier Vicente Sã Nchez Camacho & Ribelly Estrella Salazar & Jos㉠Eduardo Sanabria & Marileidy Bonilla-Nãšã‘Ez & Armando Jos㉠Garcã A-Ortiz, 2025. "GENERALIZATION OF s-GODUNOVA–LEVIN FUNCTIONS THROUGH FRACTAL SETS AND SOME INEQUALITIES," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(07), pages 1-18.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:07:n:s0218348x25300028
    DOI: 10.1142/S0218348X25300028
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