A. S. Serdyuk, Ie. Yu. Ovsii
Published 2010-05-30, updated 2011-04-14Version 2
We obtain the estimates for the best approximation in the uniform metric of the classes of $2\pi $-periodic functions whose $(\psi ,\beta)$-derivatives have a given majorant $\omega$ of the modulus of continuity. It is shown that the estimates obtained here are asymptotically exact under some natural conditions on the parameters $\psi ,$ $\omega $ and $\beta $ defining the classes
Journal: Azerbaijan Journal of Mathematics, Vol. 1, No. 1, 2011, 129-144
On approximations by trigonometric polynomials of classes of functions defined by moduli of smoothness
The best approximation by trigonometric polynomials of classes of convolutions generated by some linear combinations of periodic kernels
Estimates for the entropy numbers of the Nikol'skii-Besov classes of periodic functions of many variables in the space of quasi-continuous functions
![QR code for arXiv:1005.5555 [math.CA]](http://oss.arxitics.com/images/favicon.svg)