Some Inequalities via Strongly p-Harmonic Log-Convex Stochastic Processes

Authors

Miguel Vivas Cortez, Pontificia Universidad Cat´olica del Ecuador (PUCE), Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias F´ısicas y Matem´atica. Sede Quito, Ecuador.Follow
Jorge E. Hern´andez H., Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias Econ´omicas y Empresariales, Departamento de T´ecnicas Cuantitativas, Barquisimeto, Venezuela.Follow

Author Country (or Countries)

Ecuador.

Abstract

In this paper, we consider and investigate a new class of harmonic convex Stochastic Process, which is called the strongly p-harmonic log-convex Stochastic Process. We establish some new integral inequalities of Hermite-Hadamard type for the product of strongly p-harmonic log-convex Stochastic Process, and with this we obtain particularized results, some results are also obtained for the cases where one of the stochastic processes considered is of type strongly p−harmonic s−convex, strongly p−harmonic P−convex and strongly p−harmonic h−convex. Results obtained in this paper may be starting point for further research.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/journal/100314

Recommended Citation

Vivas Cortez, Miguel and E. Hern´andez H., Jorge (2018) "Some Inequalities via Strongly p-Harmonic Log-Convex Stochastic Processes," Applied Mathematics & Information Sciences: Vol. 12: Iss. 3, Article 14.
DOI: http://dx.doi.org/10.18576/journal/100314
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss3/14