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Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h₁, h₂)-preinvexity.

  • Guo, Piao [1] ; Huang, Zhengzheng [1] ; Du, Tingsong [1]
    1. [1] China Three Gorges University

      China Three Gorges University

      China

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 37, Nº. 2, 2018, págs. 345-378
  • Idioma: inglés
  • DOI: 10.4067/s0716-09172018000200345
  • Enlaces
  • Resumen
    • In this paper, we derive a fractional integral identity concerning three times differentiable generalized preinvex mappings defined on minvex set. By using of this identity, we obtain new estimates on generalization of trapezium-like inequalities for functions whose third order derivatives are generalized (m, h₁, h₂)-preinvex via Riemann-Liouville fractional integrals. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

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