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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

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