Abstract
Abstract. Some estimates exact in order for linear widths of the classes $$ {B}_{p,\uptheta}^{\Omega} $$ of periodic multivariable functions in the space Lq with certain relations between the parameters p, q; and 𝜃 are obtained. In the univariate case, the estimates exact in order for Kolmogorov and linear widths of the classes $$ {B}_{\infty, \uptheta}^{\omega } $$ in the space Lq, 1 ≤ q ≤ ∞; are established.
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