Abstract
In this paper, we investigate the problem of the deviation of a function from its de la Vallée-Poussin sums of Fourier series in Morrey spaces defined on the unite circle in terms of the best approximation to . Moreover, approximation properties of de la Vallée-Poussin sums of Faber series in Morrey-Smirnov classes of analytic functions, defined on a simply connected domain bounded by a curve satisfying Dini's smoothness condition are obtained.
Recommended Citation
Kinj, Ahmed; Ali, Mohammad; and Mahmoud, Suleiman
(2017)
Approximation Properties of de la Vallée-Poussin sums in Morrey spaces,
Sultan Qaboos University Journal For Science: Vol. 22:
Iss.
2, 89-95.
DOI: https://doi.org/10.24200/squjs.vol22iss2pp89-95
Available at:
https://squjs.squ.edu.om/squjs/vol22/iss2/4