Title of article :
Approximation Properties of de la Vallée-Poussin sums in Morrey spaces
Author/Authors :
kinj, ahmed tishreen university - faculty of science - department of mathematics, Lattakia, Syria , ali, mohammad tishreen university - faculty of science - department of mathematics, Lattakia, Syria , mahmoud, suleiman tishreen university - faculty of science - department of mathematics, Lattakia, Syria
Abstract :
In this paper, we investigate the problem of the deviation of a function 𝑓 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 𝑓. 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.
Keywords :
de la Vallée , Poussin , Faber polynomials , modulus of smoothness , Morrey Smirnov classes
Journal title :
Sultan Qaboos University Journal for Science
Journal title :
Sultan Qaboos University Journal for Science
