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$ L\sp{p}$ behavior of power series with positive coefficients


Author: Richard Askey
Journal: Proc. Amer. Math. Soc. 19 (1968), 303-305
MSC: Primary 40.40; Secondary 26.00
DOI: https://doi.org/10.1090/S0002-9939-1968-0223786-X
MathSciNet review: 0223786
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References [Enhancements On Off] (What's this?)

  • [1] R. P. Boas, Jr., Fourier series with positive coefficients, Bull. Amer. Math. Soc. 72 (1966), 863-865. MR 0198098 (33:6257)
  • [2] -, Integrability theorems for trigonometric transforms, Ergebnisse der Math. und ihrer Grenzgebiete, Vol. 38, Springer-Verlag, New York, 1967. MR 0219973 (36:3043)
  • [3] G. H. Hardy and J. E. Littlewood, Some new properties of Fourier coefficients, J. London Math. Soc. 6 (1931), 3-9.
  • [4] P. Hewood, Integrability theorems of Tauberian character, Proc. London Math. Soc. 15 (1965), 471-494. MR 0201876 (34:1756)
  • [5] A. A. Konyushkov, Best approximation by trigonometric polynomials and Fourier coefficients, Mat. Sb. 44(86) (1958), 53-84. MR 0096074 (20:2571)

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DOI: https://doi.org/10.1090/S0002-9939-1968-0223786-X
Article copyright: © Copyright 1968 American Mathematical Society

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