Uniform Convergence of Fourier Series on Compact Subsets
DOI:
https://doi.org/10.5644/SJM.06.2.05Keywords:
Approximation by polynomials, orthogonal polynomials, Fourier series, analytic weight functionsAbstract
In this paper, the speed of approximation of $\omega _{n}(B;f,z)$ to zero has been calculated by using analytic and geometric properties of the boundary of the given region, where $B$ is a subset of $G$ (a finite simpy connected domain bounded by a Jordan curve) and $\omega _{n}=\left\vert
f(z)-S_{n}(f,z)\right\vert ,~z\in B.$
2000 Mathematics Subject Classification. 41A10, 30E10, 42A16
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References
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