Relative n-widths of periodic convolution classes with NCVD-kernel and B-kernel

Abstract

In this paper, we consider the relative n-widths of two kinds of periodic convolution classes, \( \tilde K_p (K) \) and \( \tilde B_p (G) \), whose convolution kernels are NCVD-kernel K and B-kernel G. The asymptotic estimations of \( K_n (\tilde K_p (K),\tilde K_p (K))_q \) and \( K_n (\tilde B_p (G),\tilde B_p (G))_q \) are obtained for p = 1 and ∞, 1 ⩽ q ⩽ ∞.