On the divergence of Lagrange interpolation processes

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  • Alexandru-Ioan Mitrea Polytechnic Institute Cluj-Napoca, Romania
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References

Cobzaş, Ştefan; Muntean, Ioan, Condensation of singularities and divergence results in approximation theory. J. Approx. Theory 31 (1981), no. 2, 138-153, MR0624359.

Erdős, P., Problems and results on the theory of interpolation. I. Acta Math. Acad. Sci. Hungar. 9 1958 381-388, MR0101614, https://doi.org/10.1007/bf02020269

Erdös, P. asndf Vértesi, P., On the almost everywhere divergence of Lagrange intyerpolatory polynomials for arbitrary system of nodes, Acta Math. Acad. Sci. Hungar, 36, 1980, 71-89. Corrections, ibid., 38, 263, 1981, https://doi.org/10.1007/bf01897094

Pilipčuk, S. S., The divergence of the Lagrange interpolation process. (Russian) Izv. Vysš. Učebn. Zaved. Matematika 1975, no. 9(160), 43-47, MR0442545.

Pilipčuk, S. S., Divergence of Lagrange interpolation processes on sets of second category. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1979, no. 3, 45-52, MR0539767.

Pilipčuk, S. S., Tests for the convergence of interpolation processes. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1979, no. 12, 39-44, MR0560419.

Pilipčuk, S. S. Convergence of Lagrange interpolational processes with respect to Jacobi nodes. (Russian) Azerbaĭdzhan. Gos. Univ. Uchen. Zap. 1979, no. 1, 60-70, MR0576431.

Povčun, L. P., The divergence of interpolational processes at a fixed point. (Russian) Izv. Vysš. Učebn. Zaved. Matematika 1978, no. 3(190), 56-60, MR0493047.

Privalov, A. A. The divergence of Lagrange interpolation processes with respect ot Jacobi nodes on a set of positive measure, MR0420066.

Privalov, A. A., Approximation of functions by interpolation polynomials. Fourier analysis and approximation theory (Proc. Colloq., Budapest, 1976), Vol. II, pp. 659-670, Colloq. Math. Soc. János Bolyai, 19, North-Holland, Amsterdam-New York, 1978, MR0540343.

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Published

1984-08-01

How to Cite

Mitrea, A.-I. (1984). On the divergence of Lagrange interpolation processes. Anal. Numér. Théor. Approx., 13(2), 143–154. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1984-vol13-no2-art5

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Vol. 13 No. 2 (1984)

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Articles

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