Dependence of differential properties of a function on the speed of its rational approximations in the metrics of Lp |
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Authors: | E. A. Sevast'yanov |
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Affiliation: | 1. Moscow State University, USSR
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Abstract: | We establish the existence almost everywhere on [0, 1] of a generalized differential of a given order for a function which can be sufficiently well approximated by rational functions in the metrics of Lp[0, 1] (0 |
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