Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral

• Autores: Jorge E. Hernández H., Juan Francisco Gómez García
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 36, Nº. 2, 2018, págs. 133-149
• Idioma: inglés
• DOI: 10.18273/revint.v36n2-2018005
• Títulos paralelos:
  • Desigualdades de tipo Hermite-Hadamard, procesos estocásticos convexos y la integral fraccionaria de Katugampola
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    En este trabajo se presentan algunas desigualdades de tipo Hermite-Hadamard para procesos estocásticos convexos usando la integral fraccional de Katugampola, y de estos resultados se deducen casos específicos para la integral fraccionaria de Riemann-Liouville y la integral de Riemann.

  • English

    In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouvillefractional integral and Riemann integral. Also, a refinement of the aforementioned inequality is presented.

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