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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. P. L. Butzer, Zur Frage der Saturationsklassen singulärer Integraloperatoren, Math. Z. 70(1958), 93-112. MR 99600
  • 2. P. L. Butzer, Representation and approximation of functions by general singular integrals, Indag. Math. 22(1960), 1-24. MR 111973
  • 3. P. L. Butzer, Fourier-transform methods in the theory of approximation. Arch. Rat. Mech. Anal. 5(1960), 390-415. MR 117480
  • 4. G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, 1966. MR 213785
  • 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, Vol. I, Cambridge Univ. Press, New York, 1959. MR 107776


Additional Information

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

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