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The convergence of discrete Fourier-Jacobi series (1906.08004v2)
Published 19 Jun 2019 in math.CA
Abstract: The discrete counterpart of the problem related to the convergence of the Fourier-Jacobi series is studied. To this end, given a sequence, we construct the analogue of the partial sum operator related to Jacobi polynomials and characterize its convergence in the $\ellp(\mathbb{N})$-norm.