Hermite - Hadamard type inequalities for (m; h1; h2)-convex stochastic processes using Katugampola fractional integral.

Hernández H, Jorge Eliecer ^[1]
1. [1] Universidad Centroccidental Lisandro Alvarado
  
  Universidad Centroccidental Lisandro Alvarado
  
  Venezuela
Localización: MATUA: Revista de matemática de la universidad del Atlántico, ISSN-e 2389-7422, Vol. 6, Nº. 1, 2019 (Ejemplar dedicado a: Revista MATUA Vol. 6 No. 1.), págs. 17-32
Idioma: inglés
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Resumen
- In this article some inequalities of the Hermite-Hadamard type are presented for (m; h1; h2)-convex stochastic processes using the fractional integral of Katugampola, and from these results specific cases are deduced for other stochastic processes with generalized convexity properties using the Riemann-Liouville fractional integral and the Riemann integral .