Title of article
Approximation orders of formal Laurent series by Oppenheim rational functions Original Research Article
Author/Authors
Ai Hua Fan، نويسنده , , Jun Wu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
18
From page
269
To page
286
Abstract
We study formal Laurent series which are better approximated by their Oppenheim convergents. We calculate the Hausdorff dimensions of sets of Laurent series which have given polynomial or exponential approximation orders. Such approximations are faster than the approximation of typical Laurent series (with respect to the Haar measure).
Keywords
Oppenheim convergents , Hausdorff dimension , Laurent series , Finite field , approximation
Journal title
Journal of Approximation Theory
Serial Year
2003
Journal title
Journal of Approximation Theory
Record number
852123
Link To Document