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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 13 > No. 5

 
   

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

PP: 821-829
doi:10.18576/amis/130516
Author(s)
Miguel J. Vivas-Cortez, Carlos Garcıa, Artion Kashuri, Jorge E. Hernandez Hernandez,
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.

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