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NEW INEQUALITIES ON GENERALIZED m-CONVEXITY ON FRACTAL SETS

Author

Listed:
  • RAINIER V. SÃ NCHEZ C.

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

  • JOSÉ 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)

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.

Suggested Citation

  • Rainier V. Sã Nchez C. & Jos㉠E. Sanabria & Eduard Trousselot, 2022. "NEW INEQUALITIES ON GENERALIZED m-CONVEXITY ON FRACTAL SETS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(06), pages 1-17, September.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:06:n:s0218348x22501171
    DOI: 10.1142/S0218348X22501171
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    Cited by:

    1. Du, Tingsong & Yuan, Xiaoman, 2023. "On the parameterized fractal integral inequalities and related applications," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).

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