Email this article Introduction to Sublinear Analysis — 2: Symmetric Case
- Authors: Orlov I.V.1,2, Baran I.V.1
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Affiliations:
- Crimea Federal University
- Voronezh State University
- Issue: Vol 225, No 2 (2017)
- Pages: 265-321
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239747
- DOI: https://doi.org/10.1007/s10958-017-3471-8
- ID: 239747
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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.
About the authors
I. V. Orlov
Crimea Federal University; Voronezh State University
Author for correspondence.
Email: igor_v_orlov@mail.ru
Russian Federation, Simferopol, Crimea; Voronezh
I. V. Baran
Crimea Federal University
Email: igor_v_orlov@mail.ru
Russian Federation, Simferopol, Crimea
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