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On the Quality of First-Order Approximation of Functions with Hölder Continuous Gradient

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Published in 2020 at "Journal of Optimization Theory and Applications"

DOI: 10.1007/s10957-020-01632-x

Abstract: We show that Hölder continuity of the gradient is not only a sufficient condition, but also a necessary condition for the existence of a global upper bound on the error of the first-order Taylor approximation.… read more here.

Keywords: gradient; quality first; first order; order approximation ... See more keywords