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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2015 Volume 57, Pages 108–161 (Mi cmfd274)

This article is cited 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'

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.

UDC: 517.972+517.982.22


 English version:
Journal of Mathematical Sciences, 2017, 225:2, 265–321


© Steklov Math. Inst. of RAS, 2026