Computing slope enclosures by exploiting a unique point of inflection

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Computing slope enclosures by exploiting a unique point of inflection

Using slope enclosures may provide sharper bounds for the range of a function than using enclosures of the derivative. Hence, slope enclosures may be useful in verifying the assumptions for existence tests or in algorithms for global optimization. Previous papers by Kolev and Ratz show how to compute slope enclosures for convex and concave functions. In this paper, we generalize these formulas ...

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ژورنال

عنوان ژورنال: Applied Mathematics and Computation

سال: 2008

ISSN: 0096-3003

DOI: 10.1016/j.amc.2008.06.041