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On A Generalization Of Strongly η-Convex Functions Via Fractal Sets

Author

Listed:
  • ZARONI ROBLES

    (Facultad de Ciencias Básicas, Universidad del Atlántico, Barranquilla, Colombia)

  • JOSÉ 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)

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.

Suggested Citation

  • Zaroni Robles & Jos㉠E. Sanabria & Rainier V. Sã Nchez C., 2021. "On A Generalization Of Strongly η-Convex Functions Via Fractal Sets," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(07), pages 1-9, November.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:07:n:s0218348x21502030
    DOI: 10.1142/S0218348X21502030
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