Geodesic
Approximation by trigonometric polynomials in weighted Orlicz spaces
Daniyal M. Israfilov 1   ; Ali Guven 1
1 Department of Mathematics Faculty of Art and Science Balikesir University 10145 Balikesir, Turkey
Studia Mathematica, Tome 174 (2006) no. 2, pp. 147-168 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm174-2-3
Keywords: investigate approximation properties partial sums fourier series prove direct inverse theorems approximation polynomials weighted orlicz spaces particular obtain constructive characterization generalized lipschitz classes these spaces

Daniyal M. Israfilov  1   ; Ali Guven  1

1 Department of Mathematics Faculty of Art and Science Balikesir University 10145 Balikesir, Turkey 
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 in weighted Orlicz spaces
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Daniyal M. Israfilov; Ali Guven. Approximation by trigonometric polynomials
 in weighted Orlicz spaces. Studia Mathematica, Tome 174 (2006) no. 2, pp. 147-168. doi: 10.4064/sm174-2-3

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