Approximations of certain classes of functions of several variables by greedy approximants in the integral metrics

2013/02/12 by Andrii Shidlich, Shidlich, Andriy L.
Computer Science · Engineering · Mathematics · #41A30 #42A10 #Advanced Computational Techniques in Science and Engineering #Classical Analysis and ODEs (math.CA) #Elasticity and Wave Propagation #FOS: Mathematics #G.1.2 #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1302.2790

openalex publication_date 2013/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find the exact order estimates of the approximations of the classes \cal F_q,r^ψ of functions of several variables by greedy approximants in the integral metric. We also obtain the exact order estimates of the best n-term orthogonal trigonometric approximations of the classes \cal F_q,r^ψ in the integral metric.

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