Title
A Statistical Approach For Economization Of The Polynomial Functions
Abstract
Due to having the minimax property, Chebyshev polynomials are used today to economize the arbitrary polynomial functions. In this work, we present a statistical approach to show that, contrary to current thought, the Chebyshev polynomials of the first kind are not appropriate for economizing these polynomials if one uses this statistical approach. In this way, a numerical results section is also given to clearly prove our claim.
Year
DOI
Venue
2006
10.1080/00207160601025607
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Keywords
Field
DocType
polynomial function economization, first and second kind Chebyshev polynomials, polynomial approximation, probability value
Chebyshev nodes,Chebyshev polynomials,Mathematical optimization,Classical orthogonal polynomials,Orthogonal polynomials,Mathematical analysis,Gegenbauer polynomials,Discrete orthogonal polynomials,Equioscillation theorem,Difference polynomials,Mathematics
Journal
Volume
Issue
ISSN
83
5-6
0020-7160
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
M. MasjedJamei16318.98
M. R. Eslahchi28813.65
Mehdi Dehghan33022324.48