A unified theory for real vs. complex rational Chebyshev approximation on an interval
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- by Arden Ruttan and Richard S. Varga PDF
- Trans. Amer. Math. Soc. 312 (1989), 681-697 Request permission
Abstract:
A unified approach is presented for determining all the constants ${\gamma _{m,n}}\;(m \geq 0,n \geq 0)$ which occur in the study of real vs. complex rational Chebyshev approximation on an interval. In particular, it is shown that ${\gamma _{m,m + 2}} = 1/3\;(m \geq 0)$, a problem which had remained open.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 312 (1989), 681-697
- MSC: Primary 41A20; Secondary 30C15, 41A50
- DOI: https://doi.org/10.1090/S0002-9947-1989-0948196-7
- MathSciNet review: 948196