Abstract
In this paper, we discuss the relation between the partial sums of Jacobi series on an elliptic region and the corresponding partial sums of Fourier series. From this we derive a precise approximation formula by the partial sums of Jacobi series on an elliptic region.
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Peixuan, Z. On uniform approximation by partial sums of Jacobi series on elliptic region. Approx. Theory & its Appl. 10, 47–57 (1994). https://doi.org/10.1007/BF02836298
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DOI: https://doi.org/10.1007/BF02836298