NEW INEQUALITIES ON GENERALIZED m-CONVEXITY ON FRACTAL SETS

Rainier V. Sã Nchez C., Jos㉠E. Sanabria () and Eduard Trousselot ()
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Rainier V. Sã Nchez C.: Instituto Superior de Formación Docente, Salomé Ureña, Recinto Luis Napoleón, Núñez Molina, República Dominicana
Jos㉠E. Sanabria: Departamento de Matemáticas, Facultad de Educación y Ciencias, Universidad de Sucre, Sincelejo, Colombia
Eduard Trousselot: Departamento de Matemáticas, Escuela de, Ciencias, Universidad de Oriente, Cumaná, Venezuela

FRACTALS (fractals), 2022, vol. 30, issue 06, 1-17

Abstract: In this research, we study some algebraic and topological properties of generalized m-convex functions on fractal sets and establish a new Jensen type inequality. Also, we obtain some new Hermite–Hadamard type inequalities for local fractional integrals of this class of functions. As applications, we present some inequalities with generalized special means and generalized probability density functions.

Keywords: Convex Function; m-Convex Function; Fractal Set; Generalized m-Convex Function (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:06:n:s0218348x22501171

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DOI: 10.1142/S0218348X22501171

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