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Notes on interpolation. V (on the stability of interpolation)

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References

  1. Über die interpolatorische Darstellung stetiger Funktionen,Jahresb. der Deutschen Math. Ver,23 (1914).

  2. This was in the particular case of equidistant abscissae emphasized byH. Hahn. See his paper: Über das Interpolationsproblem,Math. Zeitschrift,1 (1918), pp. 115–142.

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  3. L. Fejér, Über Interpolation,Gött. Nachr., (1916), pp. 1–16.

  4. Actually a much stronger local theorem could have been stated.

  5. A formula of trigonometric interpolation,Rendiconti del Circ. Mat. di Palermo,37 (1914), p. 371.

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  6. In a lecture ofG. Pólya. SeeJahresb. der Deutschen Math. Ver.,22 (1913), Mitteilungen und Nachr., p. 206.

  7. Interpolazione di una funzioneF(P) continua nei puntiP di una superficie sferica,Boll. Un. Mat. Ital. (3),11 (1956), pp. 40–45.

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  8. The same identity was derived byFejér l. c.Über Interpolation,Gött. Nachr. (1916), pp. 1–16. from his step-parabola and used in his convergence-proof too.

  9. Sur les polynômes orthogonaux relatifs à un segment fini,Journ. de Math. (9),9 (1930) and10 (1931), pp. 219–286, especially p. 236.

  10. Ein Beitrag zur Theorie der Polynome von Laguerre und Jacobi,Math. Zeitschrift,1 (1918), pp. 341–356.

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Authors and Affiliations

  1. Budapest

    E. Egerváry & P. Turán (members of the Academy)

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  1. E. Egerváry
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  2. P. Turán
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Egerváry, E., Turán, P. Notes on interpolation. V (on the stability of interpolation). Acta Mathematica Academiae Scientiarum Hungaricae 9, 259–267 (1958). https://doi.org/10.1007/BF02020253

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