References
Bernstein, S., On trigonometric interpolation by method of least squares (in Russian),Dokl. Akad. Nauk SSSR 4 (1934), 1–8.
Chen, Y.-M., A remarkable divergent Fourier series,Proc. Japan Acad. 38 (1962), 239–244.
Faddeev, D. K., On representation of summable functions by singular integrals at the Lebesgue points (in Russian),Mat. Sb. 1 (43), (1936), 351–368.
Grunwald, G., Über Divergenzerscheinungen der Lagrangeschen Interpolationspolynome,Acta Sci. Math. (Szeged), 7 (1935), 207–221.
Kolmogorov, A. N., Un série de Fourier-Lebesgue divergente partout,C. R. Acad. Sci. Paris 183 (1926), 1327–1328.
Lanczos, C.,Discourse on Fourier Series, Oliver and Boyd, Edinburgh and London, 1966.
Marcinkiewicz, J., Interpolating polynomials for absolutely continuous functions (in Polish),Wiadom. Mat. 39 (1935), 85–115.
—, Sur la sommabilité forte de séries de Fourier,J. London Math. Soc. 14 (1939), 22–34.
Offord, A. C., Approximation to functions by trigonometric polynomials,Duke Math. J. 6 (1940), 505–510.
Róna, G., A theorem on trigonometric interpolation (in Hungarian),Mat. Lapok 19 (1968), 363–365.
Zygmund, A.,Trigonometric Series, vol. I–II, Cambridge, University Press, 1959.
Author information
Authors and Affiliations
Additional information
This paper was written during the first term of the 1973/74 academic year while the author visited the Mittag-Leffler Institute, Sweden. The author seizes the opportunity to thank the Swedish Academy of Sciences and in particular Professor L. Carleson for the scholarship at the Mittag-Leffler Institute given to the author.
Rights and permissions
About this article
Cite this article
Névai, G.P. On a theorem of A. C. Offord and its analogue for Fourier series. Ark. Mat. 12, 221–233 (1974). https://doi.org/10.1007/BF02384759
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02384759