Author: J. P. Evans
Publisher:
Published: 1961
Total Pages: 22
ISBN-13:
DOWNLOAD EBOOK →Results concerning approximation to functions analytic on a closed point set R̄0 by arbitrary functions analytic and bounded in a region R1 containing R̄0 were first established by Walsh [4] in 1938 and later extended by the present writers to the limiting case where R̄0 and the boundary of R1 have points in common [5]. It is the purpose of the present note to continue the study of this problem now in situations where the approximated function is no longer assumed analytic at points common to the boundaries of R0 and R1.
Author: Joseph Leonard Walsh
Publisher:
Published: 1961
Total Pages: 64
ISBN-13:
DOWNLOAD EBOOK →The problem is the study of approximation to a function f(z) analytic but not bounded in a region D on a closed set E in D. Asymptotic relations concerning degree of approximation are derived. (Author).