Accession Number:

AD0653713

Title:

OPTIMAL QUADRATURES IN L2(EP), II,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s):

• Barnhill,Robert E.

Report Date:

1967-03-01

Pagination or Media Count:

18.0

Abstract:

This paper is an extension of an earlier paper in which the hypercircle inequality was applied to quadratures of a certain class of analytic functions. In this paper the quadratures nodes are allowed to be variable and the bound obtained from the hypercircle inequality is minimized with respect to the nodes. Computed tables and examples are also given. Author

Descriptors:

• (*NUMERICAL ANALYSIS
• NUMERICAL METHODS AND PROCEDURES)
• ANALYTIC FUNCTIONS
• HILBERT SPACE
• INEQUALITIES
• TABLES(DATA)
• APPROXIMATION(MATHEMATICS)
• MATHEMATICS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE