References
P. Erdős andP. Vértesi, On the almost everywhere divergence of Lagrange interpolatory polynomials for arbitrary system of nodes,Acta Math. Acad. Sci. Hungar.,36 (1980), 71–89;38 (1981), 263.
S. Y. Alper, On the convergence of Lagrange interpolation on the complex domain,Usp. Mat. Nauk,11 (5) (1956), 44–50 (in Russian).
A. H. German, Interpolation on complex domain,Anal. Math.,6 (1980), 121–135.
P. Erdős andP. Turán, On interpolation. III,Annals of Math.,41 (1940), 510–553.
W. Orlicz, Über Folgen linearer Operationer die von einem Parameter abhängen,Studia Math.,5 (1934), 160–170.
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The results were announced in Oberwolfach, August 9–16, 1980.
The author was supported by funds from the National Sciences and Engineering Research Council of Canada.
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Vértesi, P. On the almost everywhere divergence of Lagrange interpolation (complex and trigonometric cases). Acta Mathematica Academiae Scientiarum Hungaricae 39, 367–377 (1982). https://doi.org/10.1007/BF01896703
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DOI: https://doi.org/10.1007/BF01896703