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

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

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-Liouville fractional integral and Riemann integral. Also, a refinement of the aforementioned i...

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Main Authors: Jorge E. Hernández H., Juan Francisco Gómez
Format: Article
Language:Spanish
Published: Universidad Industrial de Santander 2018-12-01
Series:Revista Integración
Subjects:
Hermite-Hadamard inequality
Stochastic Processes
Fractional Integrals
Online Access:https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/9119
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spelling doaj-64c8c9d9183c4fe2b0166a22ce4fb7f42020-11-25T02:51:56ZspaUniversidad Industrial de SantanderRevista Integración0120-419X2145-84722018-12-01362Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integralJorge E. Hernández H.0Juan Francisco Gómez1Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias Económicas y Empresariales, Barquisimeto, Venezuela.Universidad Centroccidental Lisandro Alvarado, Dirección del Centro de Investigaciones del DCEE, Barquisimeto, Venezuela. 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-Liouville fractional integral and Riemann integral. Also, a refinement of the aforementioned inequality is presented. https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/9119Hermite-Hadamard inequalityStochastic ProcessesFractional Integrals
collection DOAJ
language Spanish
format Article
sources DOAJ
author Jorge E. Hernández H.
Juan Francisco Gómez
spellingShingle Jorge E. Hernández H.
Juan Francisco Gómez
Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral
Revista Integración
Hermite-Hadamard inequality
Stochastic Processes
Fractional Integrals
author_facet Jorge E. Hernández H.
Juan Francisco Gómez
author_sort Jorge E. Hernández H.
title Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral
title_short Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral
title_full Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral
title_fullStr Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral
title_full_unstemmed Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral
title_sort hermite-hadamard type inequalities, convex stochastic processes and katugampola fractional integral
publisher Universidad Industrial de Santander
series Revista Integración
issn 0120-419X
2145-8472
publishDate 2018-12-01
description 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-Liouville fractional integral and Riemann integral. Also, a refinement of the aforementioned inequality is presented.
topic Hermite-Hadamard inequality
Stochastic Processes
Fractional Integrals
url https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/9119
work_keys_str_mv AT jorgeehernandezh hermitehadamardtypeinequalitiesconvexstochasticprocessesandkatugampolafractionalintegral
AT juanfranciscogomez hermitehadamardtypeinequalitiesconvexstochasticprocessesandkatugampolafractionalintegral
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