Best uniform approximation by meromorphic functions with free poles
Author:
S. J. Poreda
Journal:
Proc. Amer. Math. Soc. 42 (1974), 513-516
MSC:
Primary 30A82
DOI:
https://doi.org/10.1090/S0002-9939-1974-0333198-9
MathSciNet review:
0333198
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Abstract | References | Similar Articles | Additional Information
Abstract: Using some recent results on best polynomial approximations, a method for explicitly calculating the meromorphic function with a fixed number of free poles of best uniform approximation to certain functions on a closed Jordan curve is obtained.
- [1] S. J. Poreda, On the convergence of best uniform deviations, Trans. Amer. Math. Soc. 174 (1973), 49–59. MR 320332, https://doi.org/10.1090/S0002-9947-1973-0320332-3
- [2] S. J. Poreda, A characterization of badly approximable functions, Trans. Amer. Math. Soc. 169 (1972), 249–256. MR 306510, https://doi.org/10.1090/S0002-9947-1972-0306510-7
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0333198-9
Keywords:
Best uniform approximation,
closed Jordan curve
Article copyright:
© Copyright 1974
American Mathematical Society
