Approximation Characteristic Of Infinite-dimension Space

This paper studies infinite-dimensional space in the Average case setting and Probabilistic case setting under the approximation characteristics. In this paper, we have calculated asymptotic for the Kolmogorov ( n,δ)-widths and the linear ( n ,δ)-widths of the l₂ space equipped with the Gaussian measureμin the metric of l_q (2≤q≤∞) and p-average Kolmogorov widths and p-average linear n-widths on infinite-dimensional space l₂ in l_q (2≤q≤∞) norm with the Gaussian measure.The main results:...