Abstract

Let $F = \{ {f_i } \}_{i = 0}^n $ be a set of continuous functions on $[a,b]$, and let $F^ * = \{ {f_i f_j } \}_{i,j = 0}^n $. We determine conditions on F which are necessary and sufficient for the set $F^ * $ to be a Chebyshev system on $[a,b]$ consisting of exactly $2n + 1$ distinct functions. The results have applications in the field of experimental design.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.