Some New Generalized Jensen and Hermite-Hadamard Inequalities for Operator h−Convex Functions

Authors

Miguel Vivas Cortez, Facultad de Ciencias Naturales y Matema´ticas, Departamento de Matema´ticas, Escuela Superior Polite´cnica del Litoral (ESPOL), Km 30.5, V´ıa Perimetral, Campus Gustavo Galindo, Guayaquil , Ecuador.\\ Departamento de matema´tica, Decanato de Ciencias y Tecnolog´ıa, Universidad Centroccidental Lisandro Alvarado, Barquisimeto, VenezuelaFollow
Jorge E. Hern´andez H., Departamento de Te´cnicas Cuantitativas. Decanato de Ciencias Econo´micas y Empresariales. Universidad Centroccidental Lisandro AlvaradoFollow
Luis Antonio Azocar, Departamento de Matema´ticas. Universidad Nacional Abierta, VenezuelaFollow

Author Country (or Countries)

Venezuela

Abstract

In the present paper we introduce the notion of operator h-convex function . Also, we obtain new Jensen and HermiteHadamard inequalities for these operator h-convex functions in Hilbert spaces.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110205

Recommended Citation

Vivas Cortez, Miguel; E. Hern´andez H., Jorge; and Antonio Azocar, Luis (2017) "Some New Generalized Jensen and Hermite-Hadamard Inequalities for Operator h−Convex Functions," Applied Mathematics & Information Sciences: Vol. 11: Iss. 2, Article 5.
DOI: http://dx.doi.org/10.18576/amis/110205
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss2/5