Sampling discretization of integral norms

2020/01/25 by Dai, F., Prymak, A., Shadrin, A. +2 · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2001.09320

Abstract

The paper is devoted to discretization of integral norms of functions from a given finite dimensional subspace. Even though this problem is extremely important in applications, its systematic study has begun recently. In this paper we obtain a conditional theorem for all integral norms L_q, 1≤ q

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