On the Gibbs phenomenon for harmonic means
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- by Fu Cheng Hsiang PDF
- Proc. Amer. Math. Soc. 11 (1960), 284-290 Request permission
References
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H. Cramér, Études sur la sommation des séries de Fourier, Ark. Mat. Astronomi och Fysik vol. 13 (1919) pp. 1-21.
T. H. Gronwall, Zur Gibbs’schen Erscheinung, Ann. of Math. (2) vol. 31 (1930) pp. 233-240.
L. Lorch, The Gibbs phenomenon for Borel means, Proc. Amer. Math. Soc. vol. 9 (1957) pp. 81-84.
O. Szász, On the Gibbs phenomenon for Euler means, Acta Sci. Math. Szeged Part B vol. 12 (1950) pp. 107-111.
—, Gibbs phenomenon for Hausdorff means, Trans. Amer. Math. Soc. vol. 69 (1950) pp. 440-456.
A. Zygmund, Trigonometrical series, Warsaw, 1935.
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 11 (1960), 284-290
- MSC: Primary 42.00
- DOI: https://doi.org/10.1090/S0002-9939-1960-0111976-9
- MathSciNet review: 0111976