TITLE

# On sampling series based on some combinations of sinc functions

AUTHOR(S)
Kivinukk, Andi; Tamberg, Gert
PUB. DATE
December 2002
SOURCE
Proceedings of the Estonian Academy of Sciences, Physics, Mathem;Dec2002, Vol. 51 Issue 4, p203
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
The generalized sampling series given in Jahresber. Deutsch. Math.-Verein., 1988, 90, 1--70 are studied. We introduce some new generalized sampling series which are defined by certain combinations of the sinc functions and find the order of approximation by those series. Sampling series of this kind are motivated by some summation methods of trigonometric Fourier series. Our discussion is based on the Rogosinski-type sampling series.
ACCESSION #
8748740

## Related Articles

• Nested Sampling. Skilling, John // AIP Conference Proceedings;2004, Vol. 735 Issue 1, p395

â€œThe evidence Z is often the single most important number in the [Bayesian] problem and I think every effort should be devoted to calculating itâ€ (MacKay 2003). Nested sampling does this by giving a direct estimate of the density of states. Posterior samples are an optional...

• Combining Moments and Samplesâ€”A Bayesian Approach. Center, Julian L. // AIP Conference Proceedings;11/7/2008, Vol. 1073 Issue 1, p127

A simple example is used to illustrate how several different types of information can be combined by Bayesian methods. In particular, techniques for combining population moments with sampling data are examined.

• On the Exit of One Class of Random Walks from an Interval. Husak, D. V. // Ukrainian Mathematical Journal;Sep2005, Vol. 57 Issue 9, p1413

We consider a random walk $$S_n = \sum {_{k \leqslant n} } \,\xi _k \;\left( {S_0 = 0} \right)$$ for which the characteristic function of jumps ? k satisfies the condition of almost semicontinuity. The problem of the exit of random walks S n of this type from a finite interval is studied.

• Perfect Tempering. Daghofer, M.; von der Linden, W. // AIP Conference Proceedings;2004, Vol. 735 Issue 1, p355

Multimodal structures in the probability density can be a serious problem for traditional Markov Chain Monte Carlo (MCMC), because correct sampling of the different structures can only be guaranteed for infinite sampling time. Samples may not decouple from the initial configuration for a long...

• Stability of spot and ring solutions of the diblock copolymer equation. Xiaofeng Ren; Juncheng Wei // Journal of Mathematical Physics;Nov2004, Vol. 45 Issue 11, p4106

The Î“-convergence theory shows that under certain conditions the diblock copolymer equation has spot and ring solutions. We determine the asymptotic properties of the critical eigenvalues of these solutions in order to understand their stability. In two dimensions a threshold exists for the...

• Simultaneous escaping of explicit and hidden free energy barriers: Application of the orthogonal space random walk strategy in generalized ensemble based conformational sampling. Lianqing Zheng; Mengen Chen; Wei Yang // Journal of Chemical Physics;6/21/2009, Vol. 130 Issue 23, p234105

To overcome the pseudoergodicity problem, conformational sampling can be accelerated via generalized ensemble methods, e.g., through the realization of random walks along prechosen collective variables, such as spatial order parameters, energy scaling parameters, or even system temperatures or...

• Calculation of free energy through successive umbrella sampling. Virmau, Peter; Müller, Marcus // Journal of Chemical Physics;6/15/2004, Vol. 120 Issue 23, p10925

We consider an implementation of umbrella sampling in which the pertinent range of states is subdivided into small windows that are sampled consecutively and linked together. This allows us to simulate without a weight function or to extrapolate the results to the neighboring window in order to...

• Does sampling work? Bailar, Barbara A. // Business Economics;Jan1997, Vol. 32 Issue 1, p47

Describes the characteristics of a sample survey, questions to be asked before sampling, quality control and the difference between household surveys and business surveys. Example of a useful survey; Sampling in the Census Bureau; Provision of an accurate, cost-efficient alternative to a census...

• Estimating sample sizes for binary, ordered categorical, and continuous outcomes in two group... Campbell, M.J.; Julious, S.A. // BMJ: British Medical Journal (International Edition);10/28/95, Vol. 311 Issue 7013, p1145

Describes sample size calculations mandatory for many research protocols and provides tables for studies comparing two groups of individuals that have outcome variables that are binary, ordered categorical and continuous outcomes. Parameter defini tion; Unequal numbers in each group; Continuous...

Share

## Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library