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@article{Kvernadze2003ApproximatingTJ, title={Approximating the jump discontinuities of a function by its Fourier-Jacobi coefficients}, author={George Kvernadze}, journal={Math. Comput.}, year={2003}, volume={73}, pages={731-751} }

- Published in Math. Comput. 2003
DOI:10.1090/S0025-5718-03-01594-1

In the present paper we generalize Eckhoff’s method, i.e., the method for approximating the locations of discontinuities and the associated jumps of a piecewise smooth function by means of its Fourier-Chebyshev coefficients. A new method enables us to approximate the locations of discontinuities and the associated jumps of a discontinuous function, which belongs to a restricted class of the piecewise smooth functions, by means of its Fourier-Jacobi coefficients for arbitrary indices… CONTINUE READING