Approximation in Lp by linear combinations of the indicators of balls
- Authors: Ochakovskaya O.A.1
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Affiliations:
- Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
- Issue: Vol 218, No 1 (2016)
- Pages: 39-46
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238162
- DOI: https://doi.org/10.1007/s10958-016-3009-5
- ID: 238162
Cite item
Abstract
We investigate an approximation of functions on subsets ℝn in the space Lp with 2 ⩽ p < ∞ by linear combinations of the indicators of balls. We consider the case where the radii of balls are proportional to positive zeros of a Bessel function.
About the authors
Oksana A. Ochakovskaya
Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
Author for correspondence.
Email: ochakovskaja@yandex.ua
Ukraine, Kyiv
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