Linear and Kolmogorov widths of the classes B_(p,θ)~Ω of periodic functions of one and several variables

摘要

Some estimates exact in order for linear widths of the classes B_(p,θ)~Ω of periodic multivariable functions in the space L_q with certain relations between the parameters p, q, and 6 are obtained. In the univariate case, the estimates exact in order for Kolmogorov and linear widths of the classes B_(∞,θ)~ω in the space L_q, 1 ≤q ≤ ∞, are established.