Uniform Approximation of Periodical Functions by Trigonometric Sums of Special Type

@article{Serdyuk2012UniformAO,
title={Uniform Approximation of Periodical Functions by Trigonometric Sums of Special Type},
author={A. Serdyuk and Ie.Yu. Ovsii},
journal={International Scholarly Research Notices},
year={2012},
volume={2014},
pages={1-11}
}

The approximation characteristics of trigonometric sums of special type on the class of ()-differentiable (in the sense of A. I. Stepanets) periodical functions are studied. Because of agreement between parameters of approximative sums and approximated classes, the solution of Kolmogorov-Nikol’skii problem is obtained in a sufficiently general case. It is shown that in a number of important cases these sums provide higher order of approximation in comparison with Fourier sums, de la Vallee… CONTINUE READING