Approximating the jump discontinuities of a function by its Fourier-Jacobi coefficients

@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}
}
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

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