Abstract:
The exact approximation orders for the classes $H_q^\Omega$ are calculated for the case in which $\Omega(t)$ contains both power and logarithmic multipliers. For these classes, the exact orders of best approximation by analogs of “improper” hyperbolic crosses are also obtained.
Keywords:best approximation orders for the classes $H_q^\Omega$, hyperbolic cross, orthowidth, trigonometric polynomial, Nikolskii function class.
Fulltext:
PDF file (469 kB)
