Asymptotic Estimates for the Best Uniform Approximations of Classes of Convolution of Periodic Functions of High Smoothness

Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness

“…If the sequences ψ(k) decrease to zero faster than any geometric progression, then asymptotic equations of the best uniform approximations are even known (see, for example, the authors work [24] and the bibliography available there).…”

Order estimates of the uniform approximations by Zygmund sums on the classes of convolutions of periodic functions

“…In some partial cases (especially for p = ∞) the exact or asymptotically exact values of the quantities E n C ψ β,p C (are also known (see. [8], [9], [10], [11], [12], [15], [19]).…”