The Problem of A. F. Timan on the Precise Order of Decrease of the Best Approximations

✍ Scribed by R.K.S. Rathore

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 470 KB
• Volume: 77
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1994.1040

✦ Synopsis

The problem of Timan on finding a necessary and sufficient condition for (A_{\sigma}(f){L{q}} \sim \omega_{k}(f ; 1 / \sigma){L{q}}, \sigma \rightarrow \infty), is solved. The condition is (\omega_{k}(f ; \delta){L{q}} \sim \omega_{k+1}(f ; \delta){L{q}}), (\delta \rightarrow 0). Related problems in other situations have also been studied. (C 1994) Academic Press, Inc.