Asymptotics of approximation of conjugate functions by Poisson integrals
DOI:
https://doi.org/10.12697/ACUTM.2018.22.19Keywords:
Poisson integral, asymptotic decomposition, Kolmogorov–Nikol'skii problem, conjugate functionAbstract
We obtain a decomposition of the upper bound for the deviation of Poisson integrals of conjugate periodic functions. The decomposition enables one to provide the Kolmogorov–Nikol'skii constants of an arbitrary order.