Hermite–Hadamard type inequalities via weighted integral operators

• Kórus, Péter ^[1] ; Nápoles Valdés, Juan Eduardo ^[2] ; Quevedo Cubillos, María Nubia ^[3]
  1. [1] University of Szeged

     University of Szeged

     Hungría

     
  2. [2] Universidad Nacional del Nordeste

     Universidad Nacional del Nordeste

     Argentina

     
  3. [3] Universidad Militar Nueva Granada

     Universidad Militar Nueva Granada

     Colombia

     

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 6, 2023, págs. 1499-1519
• Idioma: inglés
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  • 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.