1. Open Access Kent State
  2. A Unified Theory for Real vs Complex Rational Chebyshev Approximation on an Interval
Author(s)
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.
Format
Article
Publication Date
1989-04-01
Publication Title
Transactions of the American Mathematical Society
Volume
312
Issue
2
First Page
681
Last Page
697
Subject
Community
Department of Computer Science
Comments

First published in Transactions of the American Mathematical Society in 1989, published by the American Mathematical Society
Permalink https://oaks.kent.edu/cspubs/7
Ruttan, A., & Varga, R. (1989). A Unified Theory for Real vs Complex Rational Chebyshev Approximation on an Interval. Transactions of the American Mathematical Society. https://oaks.kent.edu/node/1333
Ruttan, Arden, and Richard Varga. 1989. “A Unified Theory for Real Vs Complex Rational Chebyshev Approximation on an Interval”. Transactions of the American Mathematical Society. https://oaks.kent.edu/node/1333.
Ruttan, A., and R. Varga. A Unified Theory for Real Vs Complex Rational Chebyshev Approximation on an Interval. Transactions of the American Mathematical Society, 1 Apr. 1989, https://oaks.kent.edu/node/1333.