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Matematicheskie Zametki, 1975, Volume 17, Issue 6, Pages 857–871 (Mi mzm7606)  
Asymptotically differentiable functions of several variables

C. G. Slobodnik

Moscow State Pedagogical Institute
Full-text PDF (844 kB)
Abstract: We show that if a real function $F(x)$ is defined in an open convex set $Q\subset R_n$ and satisfies an asymptotic Lipschitz condition, then it must satisfy a Lipschitz condition. The result is used for investigating asymptotically differentiable functions.
Received: 02.07.1974
English version:
Mathematical Notes, 1975, Volume 17, Issue 6, Pages 516–525
DOI: https://doi.org/10.1007/BF01442696
Bibliographic databases:
UDC: 517
Language: Russian
Citation: C. G. Slobodnik, “Asymptotically differentiable functions of several variables”, Mat. Zametki, 17:6 (1975), 857–871; Math. Notes, 17:6 (1975), 516–525
Citation in format AMSBIB
\Bibitem{Slo75}
\by C.~G.~Slobodnik
\paper Asymptotically differentiable functions of several variables
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 6
\pages 857--871
\mathnet{http://mi.mathnet.ru/mzm7606}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=407216}
\zmath{https://zbmath.org/?q=an:0312.26010}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 6
\pages 516--525
\crossref{https://doi.org/10.1007/BF01442696}
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