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
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• 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.