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Matematicheskie Zametki, 1977, Volume 22, Issue 6, Pages 859–871 (Mi mzm8107)  
This article is cited in 3 scientific papers (total in 3 papers)

Monotone transformations and differential properties of functions

L. I. Kaplan, C. G. Slobodnik

Principal Information Computation Center of the State Standard Office of the USSR
Full-text PDF (1070 kB) Citations (3)
Abstract: The class of all real functions of a single variable which become everywhere differentiable after a certain homeomorphic transformation of coordinate axis is described. Moreover, various examples about differential properties of functions are given (in particular, an elementary construction of a nonconstant continuously differentiable real function of two variables, every value of which is critical-the example of Whitney, is given).
Received: 22.06.1976
English version:
Mathematical Notes, 1977, Volume 22, Issue 6, Pages 971–978
DOI: https://doi.org/10.1007/BF01099567
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: L. I. Kaplan, C. G. Slobodnik, “Monotone transformations and differential properties of functions”, Mat. Zametki, 22:6 (1977), 859–871; Math. Notes, 22:6 (1977), 971–978
Citation in format AMSBIB
\Bibitem{KapSlo77}
\by L.~I.~Kaplan, C.~G.~Slobodnik
\paper Monotone transformations and differential properties of functions
\jour Mat. Zametki
\yr 1977
\vol 22
\issue 6
\pages 859--871
\mathnet{http://mi.mathnet.ru/mzm8107}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=466442}
\zmath{https://zbmath.org/?q=an:0381.26002}
\transl
\jour Math. Notes
\yr 1977
\vol 22
\issue 6
\pages 971--978
\crossref{https://doi.org/10.1007/BF01099567}
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  • https://www.mathnet.ru/eng/mzm/v22/i6/p859
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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