Shape preserving approximation by complex polynomials in the unit disk
by
Sorin G. Gal
Vol. 3 No. 2 (2008) P.323~P.337
ABSTRACT
The purpose of this paper is to obtain new results concerning the preservation of some properties in Geometric Function Theory, in approximation of analytic functions by polynomials, with best approximation types of rates. In addition, the approximating
polynomials satisfy some interpolation conditions too.
KEYWORDS
Shape preserving approximation, interpolation, complex polynomials, best approximation rate
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 30E10, 30C45, 41A25
MILESTONES
Received: 2006-07-31
Revised : 2007-04-24
Accepted: 2007-04-25
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