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Bulletin of the American Mathematical Society

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Some Tauberian theorems with applications to approximation theory


Author: Harold S. Shapiro
Journal: Bull. Amer. Math. Soc. 74 (1968), 500-504
DOI: https://doi.org/10.1090/S0002-9904-1968-11980-9
MathSciNet review: 0225074
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References [Enhancements On Off] (What's this?)

  • 1. Paul L. Butzer, Zur Frage der Saturationsklassen singulärer Integraloperatoren, Math. Z 70 (1958), 93–112 (German). MR 0099600, https://doi.org/10.1007/BF01558578
  • 2. P. L. Butzer, Representation and approximation of functions by general singular integrals. IA, IB, Nederl. Akad. Wetensch. Proc. Ser. A 63 = Indag. Math. 22 (1960), 1–24. MR 0111973
  • 3. P. L. Butzer, Fourier-transform methods in the theory of approximation, Arch. Rational Mech. Anal. 5 (1960), 390–415 (1960). MR 0117480, https://doi.org/10.1007/BF00252917
  • 4. G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, New York-Chicago, Ill.-Toronto, Ont., 1966. MR 0213785
  • 5. H. S. Shapiro, Smoothing and approximation of functions, Matscience Report 55, The Institute of Mathematical Sciences, Madras-20, India, 1967 (mimeographed).
  • 6. A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1968-11980-9