Sphere Generalized Smooth Besov Class Width

We study the Kolmogorov n-widths d_n(B_p,θ^Ω,L_q), the linear n-widthsδ_n(BB_p,θ^Ω,L_q) and the Gelfand n-widths dⁿ(BB_p,θ^Ω,L_q) of Besov classes B_p,θ^Ωon S^d-1 where L_q, 1≤q≤∞denotes the space L_q on S^d-1. Optimal asymptotic orders of d_n(B_p,θ^Ω, L_q),δ_n(BB_p,θ^Ω, L_q) and dⁿ(BB_p,θ^Ω, L_q) as nâ†'∞are obtained for all 1≤p, q≤∞.