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Approximation by Generalised Polynomials with Integral Coefficients

Published online by Cambridge University Press:  20 November 2018

J. Tzimbalario
J. Tzimbalario*
Affiliation:
P.O. Box 341, Rishon Le Zion
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Let C[0,1] be the space of all continuous real valued functions defined in [0,1] with the supremum norm

1

The subspace of C[0,1] consisting of all functions f(x) for which f(0) and f(l) are integers will be denoted by C0[0,1], Let be a sequence of real numbers satisfying:

2

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977 , pp. 129 - 131
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Ferguson, L. B. O., Muntz-Szasz theorem with integral coefficients I, Proc. Int. Conf. Madras, 1973 (to appear).Google Scholar
2. Ferguson, L. B. O., and Golitschek, M. v., Muntz-Szasz theorem with integral coefficients II. (to appear).Google Scholar
3. Kakeya, S., On approximate polynomials, Tohoku Mat. J. 6 (1914), 182-186.Google Scholar
4. Muntz, Ch. H., Uber den Approximationssatz von Weierstrass, Math. Abhandlungen H. A. Schwartz zu seinem 50. Doctorjubilaum gewidmet, Berlin 1914, p. 303-312.Google Scholar
5. Raley, R. E. A. C. and Wiener, N., Fourier Transforms in the Complex Domain, A. M. S., Providence, Rhode Island 1934.Google Scholar