Ostrowski Type Inequalities for Functions Whose Second Derivatives are Convex Generalized.

Authors

Yenny Rangel-Oliveros, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Cat´olica del Ecuador (PUCE), Escuela de Ciencias F´ısicas y Matem´atica. Sede Quito, Ecuador.Follow
Miguel Vivas-Cortez, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Cat´olica del Ecuador (PUCE), Escuela de Ciencias F´ısicas y Matem´atica. Sede Quito, Ecuador.Follow

Author Country (or Countries)

Ecuador.

Abstract

In this paper we introduce the notion of s−j−convex functions as generalization of convex functions. Some basic results under various conditions for the function j are investigated. Moreover, we establish Ostrowski type inequalities for twice differentiable mappings which are s−j−convex.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120606

Recommended Citation

Rangel-Oliveros, Yenny and Vivas-Cortez, Miguel (2018) "Ostrowski Type Inequalities for Functions Whose Second Derivatives are Convex Generalized.," Applied Mathematics & Information Sciences: Vol. 12: Iss. 6, Article 6.
DOI: http://dx.doi.org/10.18576/amis/120606
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss6/6