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Introduction to Sublinear Analysis — 2: Symmetric Case

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Abstract

The advanced theory of the first and higher symmetric Fréchet differentials and K-sub-differentials 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.

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Author information

Authors and Affiliations

  1. Crimea Federal University, Simferopol, Crimea, Russia

    I. V. Orlov & I. V. Baran

  2. Voronezh State University, Voronezh, Russia

    I. V. Orlov

Authors
  1. I. V. Orlov
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  2. I. V. Baran
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Correspondence to I. V. Orlov.

Additional information

Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 57, Proceedings of the Crimean Autumn Mathematical School-Symposium KROMSH–2014, 2015.

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Orlov, I.V., Baran, I.V. Introduction to Sublinear Analysis — 2: Symmetric Case. J Math Sci 225, 265–321 (2017). https://doi.org/10.1007/s10958-017-3471-8

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  • DOI: https://doi.org/10.1007/s10958-017-3471-8

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