Hermite–Hadamard type inequalities via weighted integral operators

Authors

  • Péter Kórus University of Szeged.
  • Juan Eduardo Nápoles Valdés Universidad Nacional del Nordeste.
  • María Nubia Quevedo Cubillos Universidad Militar Nueva Granada.

DOI:

https://doi.org/10.22199/issn.0717-6279-5497

Keywords:

Hermite--Hadamard integral inequality, weighted integral operators, (h, m)-convex functions, (h, s, m)-convex functions

Abstract

In this paper, we consider general convex functions of various type. We establish some new integral inequalities of Hermite--Hadamard type for $(h,s,m)$-convex and $(h,m)$-convex functions, using generalized integrals. We also investigate differentiable functions with general convex derivative. The proven results generalize many results previously known from the literature.

Author Biographies

Péter Kórus, University of Szeged.

Institute of Applied Pedagogy, Juhász Gyula Faculty of Education.

Juan Eduardo Nápoles Valdés, Universidad Nacional del Nordeste.

Facultad de Ciencias Exactas y Naturales y Agrimensura.

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Published

2023-11-27

How to Cite

[1]
P. Kórus, J. E. Nápoles Valdés, and M. N. Quevedo Cubillos, “Hermite–Hadamard type inequalities via weighted integral operators”, Proyecciones (Antofagasta, On line), vol. 42, no. 6, pp. 1499-1519, Nov. 2023.

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