On nonlinear simultaneous Chebyshev approximation problems

✍ Scribed by Chong Li; G.A. Watson

• Book ID: 104151189
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 229 KB
• Volume: 288
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1016/s0022-247x(03)00589-4

✦ Synopsis

This paper is concerned with the problem of nonlinear simultaneous Chebyshev approximation in a real continuous function space. Some results on existence are established, in addition to characterization conditions of Kolmogorov type and also of alternation type. Applications are given to approximation by rational functions, by exponential sums and by Chebyshev splines with free knots.