The exact Hausdorff dimension for a class of fractal functions
โ Scribed by Steve Gibert; Peter R Massopust
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 527 KB
- Volume
- 168
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Let 1 < __s__ < 2, __ฮป~k~__ > 0 with __ฮป~k~__ โ โ satisfy __ฮป__~__k__+1~/__ฮป~k~__ โฅ __ฮป__ > 1. For a class of Besicovich functions __B__(__t__) = $ \sum ^{\infty} \_{k=1} \, \lambda ^{s-2} \_{k} $ sin __ฮป~k~t__, the present paper investigates the intrinsic relationship between box dimen
Let m, n be positive integers and let : Z n ร R be a non-negative function. Let W(m, n; ) be the set { X # R mn : " : n j=1 x ij q j " < (q), 1 i m, for infinitely many q # Z n = . The Hausdorff dimension of W(m, n; ) is obtained for arbitrary non-negative functions , with no monotonicity assumpti