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