Email this article Continuous sums of ridge functions on a convex body and the class VMO
- Authors: Kuleshov A.A.1
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Affiliations:
- Steklov Mathematical Institute
- Issue: Vol 102, No 5-6 (2017)
- Pages: 799-805
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150352
- DOI: https://doi.org/10.1134/S0001434617110207
- ID: 150352
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Abstract
Sums of ridge functions on convex bodies in the space ℝn 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.
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About the authors
A. A. Kuleshov
Steklov Mathematical Institute
Author for correspondence.
Email: kuleshov.a.a@yandex.ru
Russian Federation, Moscow
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