Estimates of entropy for multiplier operators of systems of orthonormal functions

The Approximation Characteristics of Weighted p-Wiener Algebra

“…The entropy numbers and s-numbers display a number of advantageous characteristics, especially the ideal property in the following lemma, which will be used to prove the main results. Further details on these properties can be found in the works of Pietsh [1,3], Milaré [14], Mayer [15], Dinh Dung [20], Temlyakov [21], and Belinsky [22]. and m, n ∈ N. Then the approximation numbers, the Kolmogorov numbers, and the entropy numbers have the ideal property as…”

“…These measures play a vital role in assessing the approximation properties of linear operators, enabling researchers to analyze and understand the behavior of various function classes and operators in the context of function approximation. For a comprehensive understanding of s-numbers and their associated widths, please refer to the following References [1,3,[6][7][8][9], and for the details about entropy numbers, see References [3,[10][11][12][13][14][15].…”