ON A GENERALIZATION OF STRONGLY η-CONVEX FUNCTIONS VIA FRACTAL SETS

Zaroni Robles (), Jos㉠E. Sanabria () and Rainier V. Sã Nchez C.
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Zaroni Robles: Facultad de Ciencias Básicas, Universidad del Atlántico, Barranquilla, Colombia
Jos㉠E. Sanabria: Facultad de Educación y Ciencias, Universidad de Sucre, Sincelejo, Colombia
Rainier V. Sã Nchez C.: Instituto Superior de Formación Docente Salomé Ureña, Recinto Luis Napoleón Nuñez Molina, República Dominicana

FRACTALS (fractals), 2021, vol. 29, issue 07, 1-9

Abstract: The purpose of this paper is to study a generalization of strongly η-convex functions using the local fractional calculus developed by Yang [Advanced Local Fractional Calculus and Its Applications (World Science Publisher, New York, 2012)], namely generalized strongly η-convex function. Among other results, we obtain some Hermite–Hadamard and Fejér type inequalities for this class of functions.

Keywords: Convex Function; Strongly η-Convex Function; Fractal Set; Generalized Strongly η-Convex Function (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21502030

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