Estimates for the widths of classes of periodic functions of several variables – I

Daurenbek Bazarkhanov

Estimates for the widths of classes of periodic functions of several variables – I

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Authors

Daurenbek Bazarkhanov

Keywords:

Kolmogorov width, linear width, function class, mixed smoothness, wavelet

Abstract

We establish estimates sharp in order for the Kolmogorov and linear widths of the classes B^s_pq(T^k) and L^s_pq(T^k) of Nikol'skii-Besov, Lizorkin-Triebel types respectively, in the space L_r(T^k) for a certain range of the parameters s, p, q, r, and m.

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Published

2024-05-21

How to Cite

Bazarkhanov, D. (2024). Estimates for the widths of classes of periodic functions of several variables – I. Eurasian Mathematical Journal, 1(3). Retrieved from https://emj.enu.kz/index.php/main/article/view/49