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Matematicheskie Zametki, 2005, Volume 77, Issue 1, Pages 93–98
DOI: https://doi.org/10.4213/mzm2472 (Mi mzm2472) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the relationship between differentiability conditions and existence of a strong gradient

G. G. Oniani

Akaki Tsereteli State University
Full-text PDF (175 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2472
Abstract: It is proved that for any n⩾2 there exists continuous function f:Rn→R which is differentiable almost everywhere, but has no strong gradient almost everywhere.
Received: 01.10.2003
Revised: 27.12.2003
English version:
Mathematical Notes, 2005, Volume 77, Issue 1, Pages 84–89
DOI: https://doi.org/10.1007/s11006-005-0008-0
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: G. G. Oniani, “On the relationship between differentiability conditions and existence of a strong gradient”, Mat. Zametki, 77:1 (2005), 93–98; Math. Notes, 77:1 (2005), 84–89
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm2472
  • https://doi.org/10.4213/mzm2472
  • https://www.mathnet.ru/eng/mzm/v77/i1/p93
    • This publication is cited in the following 2 articles:
    1. O. Dzagnidze, “On Some New Properties of Quaternion Functions”, J Math Sci, 235:5 (2018), 557  crossref
    2. Bantsuri L.D. Oniani G.G., “On Differential Properties of Functions of Bounded Variation”, Anal. Math., 38:1 (2012), 1–17  crossref  mathscinet  zmath  isi  scopus
    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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