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Approximation by polynomials and rational functions in weighted rearrangement invariant spaces |
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| Authors: | Daniyal M. Israfilov,Ramazan Akgü n |
| Affiliation: | Balikesir University, Faculty of Arts and Sciences, Department of Mathematics, 10145 Balikesir, Turkey |
| Abstract: | Let Γ be a Dini-smooth curve in the complex plane, and let G:=IntΓ. We prove some direct and inverse theorems of approximation theory by algebraic polynomials and rational functions in the weighted rearrangement invariant Smirnov spaces EX(G,ω) defined on G. |
| Keywords: | Dini-smooth curve Banach function spaces Direct theorems Inverse theorems Weighted rearrangement invariant space Modulus of smoothness Constructive characterization |
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