Asymptotically Optimal Weighted Numerical Integration
نویسندگان
چکیده
منابع مشابه
Asymptotically Optimal Weighted Numerical Integration
We study numerical integration of H older{type functions with respect to weights on the real line. Our study extends previous work by F. Curbera, [2] and relies on a connection between this problem and the approximation of distribution functions by empirical ones. The analysis is based on a lemma which is important within the theory of optimal designs for approximating stochastic processes. As...
متن کاملAsymptotically Optimal Election on Weighted Rings
In a network of asynchronous processors, the cost to send a message can differ significantly from one communication link to another. In such a setting, it is desirable to factor the cost of links into the cost of distributed computation. Assume that associated with each link is a positive weight representing the cost of sending one message along the link, and the cost of an algorithm executed o...
متن کاملAsymptotically Optimal Approximation and Numerical Solutions of Diierential Equations Asymptotically Optimal Approximation and Numerical Solutions of Diierential Equations
Given nite subset J IR n , and a point 2 IR n , we study in this paper the possible convergence, as h ! 0, of the coeecients in least-squares approximation to f(+hh) from the space spanned by (f(+ hj) j2J. We invoke thèleast solution of the polynomial interpolation problem' to show that the coeecient do converge for a generic J and , provided that the underlying function f is suuciently smooth....
متن کاملAdaptively weighted numerical integration over arbitrary domains
In adaptivelyweightednumerical integration, for a given set of quadrature nodes, order and domain of integration, the quadrature weights are obtained by solving a system of suitable moment fitting equations in least square sense. The moments in the moment equations are approximated over a simplified domain that is homeomorphic to the original domain, and then are corrected for the deviation fro...
متن کاملAsymptotically Optimal Scalable Coding for Minimum Weighted Mean Square Error
In this paper, we derive an asymptotically optimal multi-layer coding scheme for entropy-coded scalar quantizers (SQ) that minimizes the weighted mean-squared error (WMSE). The optimal entropy-coded SQ is non-uniform in the case of WMSE. The conventional multi-layer coder quantizes the base-layer reconstruction error at the enhancement-layer, and is sub-optimal for the WMSE criterion. We consid...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Complexity
سال: 1998
ISSN: 0885-064X
DOI: 10.1006/jcom.1997.0467