Accession Number:

AD0633692

Title:

A STUDY OF OPERATORS IN APPROXIMATION THEORY.

Descriptive Note:

Interim technical rept. no. 9,

Corporate Author:

TEXAS UNIV AUSTIN COMPUTATION CENTER

Personal Author(s):

Report Date:

1966-04-01

Pagination or Media Count:

133.0

Abstract:

This dissertation consists of two independent chapters. The first chapter studies constants associated with best-approximation maps mainly in the space of all real-valued continuous functions on a closed interval. The second chapter contains several generalizations of a theorem due to Cheney and Goldstein. This theorem establishes the existence of bounded linear operators which best approximate nonlinear operators under certain conditions. The well-known Alaoglu theorem is also obtained in this chapter as a special case of more general theorems. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE