INEQUALITIES FOR DIFFERENTIABLE PERIODIC FUNCTIONS AND BEST APPROXIMATION OF ONE CLASS OF FUNCTIONS BY ANOTHER

@article{Korneiuk1972INEQUALITIESFD,
title={INEQUALITIES FOR DIFFERENTIABLE PERIODIC FUNCTIONS AND BEST APPROXIMATION OF ONE CLASS OF FUNCTIONS BY ANOTHER},
author={N. Kornei{\vc}uk},
journal={Mathematics of The Ussr-izvestiya},
year={1972},
volume={6},
pages={417-428}
}

New results are obtained in this paper which elucidate properties of differentiable periodic functions connected with rearrangements. These results are applied in order to obtain a sharp estimate of the best uniform approximation of functions of the class by functions of the class .