$L^{p}$ behavior of power series with positive coefficients
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- by Richard Askey
- Proc. Amer. Math. Soc. 19 (1968), 303-305
- DOI: https://doi.org/10.1090/S0002-9939-1968-0223786-X
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References
- R. P. Boas Jr., Fourier series with positive coefficients, Bull. Amer. Math. Soc. 72 (1966), 863–865. MR 198098, DOI 10.1090/S0002-9904-1966-11590-2
- Ralph P. Boas Jr., Integrability theorems for trigonometric transforms, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 38, Springer-Verlag New York, Inc., New York, 1967. MR 0219973, DOI 10.1007/978-3-642-87108-5 G. H. Hardy and J. E. Littlewood, Some new properties of Fourier coefficients, J. London Math. Soc. 6 (1931), 3-9.
- Philip Heywood, Integrability theorems of Tauberian character, Proc. London Math. Soc. (3) 15 (1965), 471–494. MR 201876, DOI 10.1112/plms/s3-15.1.471
- A. A. Konyuškov, Best approximations by trigonometric polynomials and Fourier coefficients, Mat. Sb. (N.S.) 44(86) (1958), 53–84 (Russian). MR 0096074
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- 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