On the Asymptotic Behavior of Alexandrov’s \(n \)-Width of the Compact Set of Infinitely Smooth Periodic Functions in a Gevrey Class

We consider the compact set of \(C^\infty \) -smoothperiodic functions in a Gevrey class that admits a bounded embedding into the space ofcontinuous functions on the unit circle. We describe the asymptotic behavior of Alexandrov’s \(n\) -width of this compact set.