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This article is cited in 4 scientific papers (total in 4 papers)
Continuous Sums of Ridge Functions on a Convex Body and the Class VMO
A. A. Kuleshov Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Abstract:
Sums of ridge functions on convex bodies in the space $\mathbb R^n$ are studied. It is established that, under sufficiently general constraints on the functions of one variable generating the sums, each of these sums must belong to the class VMO on each finite closed interval of its domain.
Keywords:
ridge function, the class VMO.
Received: 27.03.2016 Revised: 16.05.2017
Citation:
A. A. Kuleshov, “Continuous Sums of Ridge Functions on a Convex Body and the Class VMO”, Mat. Zametki, 102:6 (2017), 866–873; Math. Notes, 102:6 (2017), 799–805
Linking options:
https://www.mathnet.ru/eng/mzm11568https://doi.org/10.4213/mzm11568 https://www.mathnet.ru/eng/mzm/v102/i6/p866
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