Approximation of generalized Wiener classes of functions of several variables in different metrics
Andrii Shidlich
TL;DR
This paper investigates the approximation properties of generalized Wiener classes of multivariable functions, providing new and existing estimates of their linear and nonlinear approximation characteristics across various metrics.
Contribution
It offers novel and known results on approximation estimates for generalized Wiener classes in multiple metrics, enhancing understanding of their approximation behavior.
Findings
New bounds for approximation characteristics
Comparison of linear and nonlinear approximation estimates
Results applicable to various metrics
Abstract
The paper presents new and known results on estimates of important linear and nonlinear approximation characteristics of generalized Wiener classes of functions of several variables in different metrics.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical Approximation and Integration · Mathematical functions and polynomials