Bounded approximation by polynomials whose zeros lie on a circle

Author:
Charles Kam-tai Chui

Journal:
Trans. Amer. Math. Soc. **138** (1969), 171-182

MSC:
Primary 30.70

DOI:
https://doi.org/10.1090/S0002-9947-1969-0237795-3

MathSciNet review:
0237795

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References | Similar Articles | Additional Information

**[1]**C. Chui,*Bounded approximation by polynomials with restricted zeros*, Bull. Amer. Math. Soc.**73**(1967), 967-972. MR**0218584 (36:1669)****[2]**-,*Bounded approximation by polynomials with restricted zeros*, Ph.D. Thesis, Univ. of Wisconsin, Madison, 1967.**[3]**J. Korevaar and C. Chui,*Potentials of families of unit masses on disjoint Jordan curves*, Proc. Conference on Approximation Theory and Abstract Spaces, Oberwolfach, Germany, (to appear). MR**0262528 (41:7134)****[4]**K. Hoffman,*Banach spaces of analytic functions*, Prentice-Hall, Englewood Cliffs, N. J., 1962, p. 67. MR**0133008 (24:A2844)****[5]**J. Korevaar,*Asymptotically neutral distributions of electrons and polynomial approximation*. Ann. of Math.**80**(1964), 403-410. MR**0168775 (29:6031)****[6]**-, ``Limits of polynomials whose zeros lie in a given set,'' in*Entire functions and related parts of analysis*, (1966 Summer Institute), Proc. Sympos. Pure Math., Vol. 11, Amer. Math. Soc., Providence, R. I., 1968. MR**0233961 (38:2282)****[7]**G. R. MacLane,*Polynomials with zeros on a rectifiable Jordan curve*, Duke Math. J.**16**(1949), 461-477. MR**0030594 (11:20e)****[8]**M. D. Thompson,*Approximation by polynomials whose zeros lie on a curve*, Duke Math. J.**31**(1964), 255-265. MR**0160916 (28:4125)****[9]**A. Zygmund,*Trigonometric series*. I, Cambridge Univ. Press, New York, 1959, p. 49. MR**0107776 (21:6498)**

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DOI:
https://doi.org/10.1090/S0002-9947-1969-0237795-3

Article copyright:
© Copyright 1969
American Mathematical Society