Approximation in Lp by linear combinations of the indicators of balls


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Abstract

We investigate an approximation of functions on subsets n 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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