New Ostrowski Type Inequalities for Coordinated (s, m)−Convex Functions in the Second Sense

Authors

Miguel J. Vivas-Cortez, Pontificia Universidad Cato ́lica del Ecuador, Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias F ́ısicas y Matema ́ticas , Av. 12 de octubre 1076,Apartado: 17-01-2184, Quito, EcuadorFollow
Carlos Garcıa, Universidad Centroccidental Lisandro Alvarado, Decanato de ciencias y Tecnolog ́ıa, Departamento de Matema ́ticas, Barquisimeto, VenezuelaFollow
Artion Kashuri, University Ismail Qemali, Faculty of Technical Science, Department of Mathematics, Ismail Qemali, Vlora, AlbaniaFollow
Jorge E. Hernandez Hernandez, Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias Econo ́micas y Empresariales, Departamento de Te ́cnicas Cuantitativas, Barquisimeto, VenezuelaFollow

Author Country (or Countries)

Ecuador

Abstract

In the present work we introduce the class of (s,m)-convex functions on the coordinates and some new Ostrowski-type inequalities are deduced for this kind of generalized convex functions. The results obtained have the absolute value of the second partial derivative with respect to the coordinates (∂2 f/∂r∂t) in the aforementioned class and bounded, as a necessary condition. This generalizes the results for convex functions of [10]. Also, some corollary is presented.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130516

Recommended Citation

J. Vivas-Cortez, Miguel; Garcıa, Carlos; Kashuri, Artion; and E. Hernandez Hernandez, Jorge (2019) "New Ostrowski Type Inequalities for Coordinated (s, m)−Convex Functions in the Second Sense," Applied Mathematics & Information Sciences: Vol. 13: Iss. 5, Article 16.
DOI: http://dx.doi.org/10.18576/amis/130516
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss5/16