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- W3122838028 abstract "In this work we provide a characterization of C{k,1} functions on Rn (that is k times differentiable with locally Lipschitzian k-th derivatives) by means of (k+1)-th divided differences and Riemann derivatives. In particular we prove that the class of C{k,1} functions is equivalent to the class of functions with bounded (k+1)-th divided difference. From this result we deduce aTaylor's formula for this class of functions and a characterization through Riemann derivatives." @default.
- W3122838028 created "2021-02-01" @default.
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- W3122838028 date "2002-01-01" @default.
- W3122838028 modified "2023-09-27" @default.
- W3122838028 title "A characterization of Ck,1 functions" @default.
- W3122838028 hasPublicationYear "2002" @default.
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