Converse results in the Walsh theory of overconvergence
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 19 (1985) no. 4, p. 601-609
@article{M2AN_1985__19_4_601_0,
     author = {Cavaretta, A. S. and Sharma, A. Jr. and Varga, R. S.},
     title = {Converse results in the Walsh theory of overconvergence},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {19},
     number = {4},
     year = {1985},
     pages = {601-609},
     zbl = {0578.41003},
     mrnumber = {826226},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1985__19_4_601_0}
}
Cavaretta, A. S.; Sharma, A. Jr.; Varga, R. S. Converse results in the Walsh theory of overconvergence. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 19 (1985) no. 4, pp. 601-609. http://www.numdam.org/item/M2AN_1985__19_4_601_0/

[1] A. S. Cavaretta, Jr., A. Sharma and R. S. Varga, An extension of a theorem of J. L. Walsh, Resultate der Mathematik 3 (1980), 155-191. | MR 600999 | Zbl 0447.30020

[2] T. J. Rivlin, On Walsh equiconvergence, J. Approximation Theory 36 (1982), 334-345. | MR 682176 | Zbl 0504.42016

[3] E. B. Saff and R. S. Varga, A note on the sharpness of J. L. Walsh's Theorem and its extensions for interpolation in the roots of unity, Acta Math. Hung. 43 (1983), 371-377. | MR 703748 | Zbl 0524.30026

[4] J. Szabados, Converse results in the theory of overconvergence of complex inter-polating polynomials, Analysis 2 (1982), 267-280. | MR 732335 | Zbl 0532.30002

[5] R. S. Varga, Topics in Polynomial and Rational Interpolation and Approximation, University of Montreal Press, 1982. | MR 654329 | Zbl 0484.30023

[6] J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, Amer. Math. Soc. Colloquium Publications Volume XX, Providence, RI, fifth edition, 1969. | JFM 61.0315.01 | MR 218588 | Zbl 0146.29902