On the 2N-Widths of a Periodic Sobolev Class Original Research Article

Let Q(x) be a polynomial with real coefficients and Wp(Q(D)) be the periodic Sobolev class defined by Q(D), D = d/dt. We get the exact values of Kolmogorov, Gel′fand, and linear 2n-widths of Wp(Q(D)) in Lp for p ∈ (1, ∞) and n > N(Q), where N(Q) is a constant dependent on Q.