Accession Number:

AD0671604

Title:

APPROXIMATION BY PERIODIC SPLINE INTERPOLANTS ON UNIFORM MESHES.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Golomb,Michael

Report Date:

1967-06-01

Pagination or Media Count:

58.0

Abstract:

Explicit formulas for approximate interpolation, differentiation, integration, and Fourier coefficients, based on interpolation by polynomial splines on uniform meshes, are given. Precise approximation errors, derived from Fourier series expansions, are established. Author

Descriptors:

• (*APPROXIMATION(MATHEMATICS)
• FUNCTIONS(MATHEMATICS))
• (*INTERPOLATION
• FUNCTIONS(MATHEMATICS))
• NUMERICAL ANALYSIS
• FOURIER ANALYSIS
• SERIES(MATHEMATICS)
• POLYNOMIALS
• PERIODIC VARIATIONS
• BANACH SPACE
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE