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arxiv: 1006.1561 · v1 · submitted 2010-06-08 · 🧮 math.CA

New Ostrowski type inequalities for m-convex functions and applications

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keywords applicationsfunctionsinequalitiesm-convexostrowskisometypeabsolute
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In this paper, we establish new inequalities of Ostrowski type for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates for the midpoint formula.

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