The Gibbs phenomenon for Borel means
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- by Lee Lorch PDF
- Proc. Amer. Math. Soc. 8 (1957), 81-84 Request permission
References
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
- Arthur E. Livingston, The Lebesgue constants for Euler $(E,p)$ summation of Fourier series, Duke Math. J. 21 (1954), 309–313. MR 62863
- Lee Lorch, The Lebesgue constants for Borel summability, Duke Math. J. 11 (1944), 459–467. MR 10635
- Lee Lorch, The Lebesgue constants for $(E,1)$ summation of Fourier series, Duke Math. J. 19 (1952), 45–50. MR 45844
- O. Szász, On the Gibbs’ phenomenon for Euler means, Acta Sci. Math. (Szeged) 12 (1950), 107–111. MR 34883
- Otto Szász, Gibbs’ phenomenon for Hausdorff means, Trans. Amer. Math. Soc. 69 (1950), 440–456. MR 38464, DOI 10.1090/S0002-9947-1950-0038464-0
Additional Information
- © Copyright 1957 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 8 (1957), 81-84
- MSC: Primary 42.2X
- DOI: https://doi.org/10.1090/S0002-9939-1957-0083620-0
- MathSciNet review: 0083620