Accession Number:

AD0649078

Title:

ON APPROXIMATION OF ANALYTIC FUNCTIONS ON DOMAINS WITH SMOOTH BOUNDARY.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Dzyadyk,V. K.
• Galan,D. M.

Report Date:

1966-11-01

Pagination or Media Count:

26.0

Abstract:

For a function defined on a bounded region of the complex plane with smooth boundary it is shown how to construct a sequence of approximating polynomials so that the closeness of approximation depends on the modulus of smoothness of the approximated function.

Descriptors:

• (*BOUNDARY VALUE PROBLEMS
• MAPPING(TRANSFORMATIONS))
• (*APPROXIMATION(MATHEMATICS)
• BOUNDARY VALUE PROBLEMS)
• ANALYTIC FUNCTIONS
• THEOREMS
• CONFORMAL MAPPING
• TRANSFORMATIONS(MATHEMATICS)
• POLYNOMIALS
• INEQUALITIES

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE