Inverse theorems for functions in $L_{p}$ and other spaces
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- by Z. Ditzian
- Proc. Amer. Math. Soc. 54 (1976), 80-82
- DOI: https://doi.org/10.1090/S0002-9939-1976-0393958-7
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Abstract:
Inverse theorem proved by R. De Vore for $C( - \infty ,\infty )$ is proved to be true also for ${L_p}$. This is an answer to a problem posed by De Vore in his book, The approximation of continuous functions by positive linear operators.References
- Ronald A. DeVore, The approximation of continuous functions by positive linear operators, Lecture Notes in Mathematics, Vol. 293, Springer-Verlag, Berlin-New York, 1972. MR 0420083, DOI 10.1007/BFb0059493
- Geza Freud, On the problem of R. de Vore, Canad. Math. Bull. 17 (1974), 39–44. MR 357700, DOI 10.4153/CMB-1974-007-8
- Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Mathematical Series, No. 32, Princeton University Press, Princeton, N.J., 1971. MR 0304972
Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 54 (1976), 80-82
- DOI: https://doi.org/10.1090/S0002-9939-1976-0393958-7
- MathSciNet review: 0393958