On the Sharpness of Estimates in Terms of Averages
β Scribed by W. Dickmeis; R. J. Nessel; E. Van Wickeren
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 380 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We propose nonparametric methods for estimating the support curve of a bivariate density, when the density decreases at a rate which might vary along the curve. Attention is focused on cases where the rate of decrease is relatively fast, this being the most difficult setting. It demands the use of a
Using ideas of Gru nwald, Marcinkiewicz, and Ve rtesi concerning the divergence of interpolation processes, a counterexample is constructed which establishes that a Jackson estimate for the best approximation by algebraic polynomials given by Ditzian and Totik is sharp in a pointwise sense everywher
The depth-integrated momentum and kinetic energy equations contain velocity correlation terms that involve products of local deviations in velocity components about depth-averaged values. Based on velocity data obtained from North Boulder Creek, Colorado, a simple scaling analysis suggests that cert
Estimations of the time-average variance for meteorological time series play a central role in climatic studies. They depend on the finite sample length and the correlation structure of the climatic time series. A general equation for these estimations is derived theoretically for autoregressive int
We give a new proof of the following inequality. In any dimension n G 2 and for Ε½ . 1-p-nlet s s n q p r2 p. Then p, s Ε½ n . where L R denotes the usual Sobolev space and ΩΒ¨denotes the gradient of The choice of s is optimal, as is the requirement that n ) p. In addition, some Sobolev norms of u ΩΒ¨