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Contemporary Mathematics. Fundamental Directions, 2015, Volume 57, Pages 108–161 (Mi cmfd274)  
This article is cited in 1 scientific paper (total in 1 paper)

Introduction to sublinear analysis – 2: symmetric case

I. V. Orlovab, I. V. Baranb

a Voronezh State University, Voronezh
b Crimea Federal University, Simferopol'
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Abstract: The advanced theory of the first and higher symmetric Fréchet differentials and $K$-subdifferentials is constructed including the mean value theorem and the Taylor formula. We give simple sufficient conditions for symmetric $K$-subdifferentiability and consider some applications to Fourier series and variational functionals.
English version:
Journal of Mathematical Sciences, 2017, Volume 225, Issue 2, Pages 265–321
DOI: https://doi.org/10.1007/s10958-017-3471-8
Document Type: Article
UDC: 517.972+517.982.22
Language: Russian
Citation: I. V. Orlov, I. V. Baran, “Introduction to sublinear analysis – 2: symmetric case”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 57, PFUR, M., 2015, 108–161; Journal of Mathematical Sciences, 225:2 (2017), 265–321
Citation in format AMSBIB
\Bibitem{OrlBar15}
\by I.~V.~Orlov, I.~V.~Baran
\paper Introduction to sublinear analysis~--~2: symmetric case
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2015
\vol 57
\pages 108--161
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd274}
\transl
\jour Journal of Mathematical Sciences
\yr 2017
\vol 225
\issue 2
\pages 265--321
\crossref{https://doi.org/10.1007/s10958-017-3471-8}
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    		Современная математика. Фундаментальные направления
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