On the Approximation of a Continuum by Lemniscates

✍ Scribed by Vladimir Andrievskii

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 118 KB
• Volume: 105
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.2000.3471

✦ Synopsis

dedicated to professor r. s. varga on the occasion of his seventieth birthday

For an arbitrary continuum E in the complex plane with connected complement 0 we study the rate of approximation of E from outside by lemniscates in terms of level lines of a conformal mapping of 0 onto the exterior of the unit disk. 2000