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2010
We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over \([a, b] \subset {\mathbb R}\), error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
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We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over \([a, b] \subset {\mathbb R}\), error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
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Some new inequalities of Ostrowski type
2003The author establishes several Ostrowski type inequalities by assuming some special properties of the derivative of the function \(f\) around a given point \(x \in (a,b).\) In addition, several consequences of the results obtained are given. For completeness, we state one of the remarkable inequalities established in the paper.
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