Approximation by trigonometric polynomials in weighted Orlicz spaces

• Autorzy: Daniyal M. Israfilov , Ali Guven
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 42A10: Trigonometric approximation
• 41A27: Inverse theorems
• 41A25: Rate of convergence, degree of approximation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 174
• Numer: 2
• Strony: 147-168

Daty

wydano

2006

Twórcy

autor

Daniyal M. Israfilov

• Department of Mathematics, Faculty of Art and Science, Balikesir University, 10145 Balikesir, Turkey

autor

Ali Guven

• Department of Mathematics, Faculty of Art and Science, Balikesir University, 10145 Balikesir, Turkey

Identyfikatory

DOI

10.4064/sm174-2-3