Accession Number:

AD0725090

Title:

A Sequence of Linear Polynomial Operators and Their Approximation-Theoretic Properties.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Motzkin,T. S.
• Sharma,A.

Report Date:

1971-03-01

Pagination or Media Count:

39.0

Abstract:

The authors construct a rank diminishing algorithm for matrices and adapt it for application to Lagrange interpolation polynomials L sub n0 fx of degree or n-1. In r steps the authors arrive at the polynomials L sub nr fx of degree n-r-1, which share many approximation theoretic properties with Lagrange interpolation polynomials. Author

Descriptors:

• *INTERPOLATION
• THEOREMS
• MATRICES(MATHEMATICS)
• ANALYTIC FUNCTIONS
• CONFORMAL MAPPING
• TAYLORS SERIES
• SEQUENCES(MATHEMATICS)
• CONVERGENCE

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE