Concerning the possible values of upper and lower derivatives
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In this paper, the behavior of the upper and lower derivatives of integrals with respect to differential bases formed from intervals is studied. The main result consists in proving the fact that there are, in general, no analogs of the well-known Besicovitch theorem for translation-invariant Busemann-Feller bases formed from intervals.
Key wordsupper and lower derivatives differential basis Besicovitch's theorem Busemann-Feller basis
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