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Holland, A. S. B.; Sahney, B. N.; Tzimbalario, J. A Criterion for Taylor Summability of Fourier Series. Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 345-350. doi: 10.4153/CMB-1979-043-8
@article{10_4153_CMB_1979_043_8,
author = {Holland, A. S. B. and Sahney, B. N. and Tzimbalario, J.},
title = {A {Criterion} for {Taylor} {Summability} of {Fourier} {Series}},
journal = {Canadian mathematical bulletin},
pages = {345--350},
year = {1979},
volume = {22},
number = {3},
doi = {10.4153/CMB-1979-043-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-043-8/}
}
TY - JOUR AU - Holland, A. S. B. AU - Sahney, B. N. AU - Tzimbalario, J. TI - A Criterion for Taylor Summability of Fourier Series JO - Canadian mathematical bulletin PY - 1979 SP - 345 EP - 350 VL - 22 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-043-8/ DO - 10.4153/CMB-1979-043-8 ID - 10_4153_CMB_1979_043_8 ER -
%0 Journal Article %A Holland, A. S. B. %A Sahney, B. N. %A Tzimbalario, J. %T A Criterion for Taylor Summability of Fourier Series %J Canadian mathematical bulletin %D 1979 %P 345-350 %V 22 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-043-8/ %R 10.4153/CMB-1979-043-8 %F 10_4153_CMB_1979_043_8
[1] 1. Forbes, R. L., Lebesgue constants for regular Taylor summability, Canad. Math. Bull. 8 (1965), p. 797-808. Google Scholar
[2] 2. Hardy, G. L., Divergent series (Oxford University Press 1956). Google Scholar
[3] 3. Holland, A. S. B., Sahney, B. N., and Tzimbalario, J., A criterion for Euler summability of Fourier series Bull. U.M.I. 12 (1975) p. 315-320. Google Scholar
[4] 4. Ishiguro, K., The Lebesgue constants for (γ, r) summation of Fourier series, Proc. Japan Acad. 36 (1960), p. 470-476. Google Scholar
[5] 5. Lorch, L. and Newman, D. J., The Lebesgue constants for (γ, r) summation of Fourier series, Canad. Math. Bull. 6 (1963), p. 179-182. Google Scholar
[6] 6. Miracle, C. L., The Gibbs phenomenon for Taylor mean and for [F, d] means, Canad. Journ. Math. 12 (1960), p. 660-673. Google Scholar
[7] 7. Shaney, B. N. and Kathal, P. D., A new criterion for Borel summability of Fourier series, Canad. Math. Bull. 12 (1969), 573-579. Google Scholar
[8] 8. Zygmund, A., Trigonometric series, Cambridge University Press, (1960). Google Scholar
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