Accession Number:

ADA063970

Title:

A Note on the Approximation of Functions of Several Variables by Sums of Functions of One Variable.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Kelley,C. T.

Report Date:

1978-08-01

Pagination or Media Count:

9.0

Abstract:

For a class of functions of several variables, which contains the continuous functions, we show that there exists a sum of functions of one variable that minimizes the distance from the given function to the space of such sums. For functions of two variables we show that such a minimizing sum may be constructed by an iterative scheme. Author

Descriptors:

• *APPROXIMATION(MATHEMATICS)
• *ITERATIONS
• OPTIMIZATION
• BOUNDARY VALUE PROBLEMS
• CONVERGENCE
• SET THEORY
• SEQUENCES(MATHEMATICS)
• BANACH SPACE

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE