Approximation by trigonometric polynomials in weighted Orlicz spaces
Tom 174 / 2006
Studia Mathematica 174 (2006), 147-168
MSC: 41A25, 41A27, 42A10, 46E30.
DOI: 10.4064/sm174-2-3
Streszczenie
We investigate the approximation properties of the partial sums of the Fourier series and prove some direct and inverse theorems for approximation by polynomials in weighted Orlicz spaces. In particular we obtain a constructive characterization of the generalized Lipschitz classes in these spaces.
