Abstract
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. These in- equalities are given for fuzzy Hölder and fuzzy differentiable functions and these facts are reflected in their right-hand sides. This chapter relies on [13].
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© 2010 Springer-Verlag Berlin Heidelberg
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Anastassiou, G.A. (2010). FUZZY OSTROWSKI INEQUALITIES. In: Fuzzy Mathematics: Approximation Theory. Studies in Fuzziness and Soft Computing, vol 251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11220-1_4
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DOI: https://doi.org/10.1007/978-3-642-11220-1_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11219-5
Online ISBN: 978-3-642-11220-1
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