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New Ostrowski Type Inequalities for Coordinated (s, m)−Convex Functions in the Second Sense |
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PP: 821-829 |
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doi:10.18576/amis/130516
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Author(s) |
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Miguel J. Vivas-Cortez,
Carlos Garcıa,
Artion Kashuri,
Jorge E. Hernandez Hernandez,
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Abstract |
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| 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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