Error estimates for sampling sums based on convolution integrals
نویسندگان
چکیده
منابع مشابه
Some Error Estimates for the Numerical Approximation of Surface Integrals
Recently, the first author introduced a new approach to the numerical quadrature of surface integrals in the context of boundary element methods. It is assumed that a global parametrization m of the surface is only indirectly given (e.g., via an iterative method) and that m is not accessible analytically. Of particular interest are parametrizations which are based on automatic triangulations of...
متن کاملA New Acceptance Sampling Plan Based on Cumulative Sums of Conforming Run-Lengths
In this article, a novel acceptance-sampling plan is proposed to decide whether to accept or reject a receiving batch of items. In this plan, the items in the receiving batch are inspected until a nonconforming item is found. When the sum of two consecutive values of the number of conforming items between two successive nonconforming items falls underneath of a lower control threshold, the batc...
متن کاملProgressive Sampling for Association Rules Based on Sampling Error Estimation
We explore in this paper a progressive sampling algorithm, called Sampling Error Estimation (SEE), which aims to identify an appropriate sample size for mining association rules. SEE has two advantages over previous works in the literature. First, SEE is highly efficient because an appropriate sample size can be determined without the need of executing association rules. Second, the identified ...
متن کاملOn the Fresnel Integrals and the Convolution
The Fresnel cosine integral C(x), the Fresnel sine integral S(x), and the associated functions C + (x), C − (x), S + (x), and S − (x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with x r + and x r are evaluated. The Fresnel cosine integral C(x) is defined by C(x) = 2 π x 0 cos ...
متن کاملConvolution Sums of Some Functions on Divisors
One of the main goals in this paper is to establish convolution sums of functions for the divisor sums σ̃s(n) = ∑ d|n(−1)d and σ̂s(n) = ∑ d|n(−1) n d d, for certain s, which were first defined by Glaisher. We first introduce three functions P(q), E(q), and Q(q) related to σ̃(n), σ̂(n), and σ̃3(n), respectively, and then we evaluate them in terms of two parameters x and z in Ramanujan’s theory of ell...
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: Information and Control
سال: 1980
ISSN: 0019-9958
DOI: 10.1016/s0019-9958(80)90857-8