Ostrowski-Type Inequalities for Functions Whose Derivative Modulus is Relatively (m, h1, h2)−Convex.

Authors

Miguel Vivas-Cortez, Pontificia Universidad Cat´olica del Ecuador , Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias F´ısicas y Matem´atica, Av. 12 de octubre 1076, Apartado:17-01-2184,Telf. 2991700 ext. 2036, Quito, Ecuador.Follow
Carlos Garc´ıa, Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias y Tecnolog´ıa, Departamento de Matem´aticas, Barquisimeto, Venezuela.Follow
Jorge Eliecer Hernandez H., Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias Econ´omicas y Empresariales, Departamento de T´ecnicas Cuantitativas, Barquisimeto, VenezuelaFollow

Author Country (or Countries)

Ecuador.

Abstract

We have found some new Ostrowski-type inequalities for functions whose derivative module is relatively (m, h1 , h2)−convex. From the main results some corollaries refereeing to relative convexity, relative P−convexity, relativem−convexity, relative s−convexity in the second sense and relative (s, m)−convexity are deduced. Also some inequalities of HermiteHadamard type are obtained.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130303

Recommended Citation

Vivas-Cortez, Miguel; Garc´ıa, Carlos; and Eliecer Hernandez H., Jorge (2019) "Ostrowski-Type Inequalities for Functions Whose Derivative Modulus is Relatively (m, h1, h2)−Convex.," Applied Mathematics & Information Sciences: Vol. 13: Iss. 3, Article 3.
DOI: http://dx.doi.org/10.18576/amis/130303
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss3/3