Error bounds in Gaussian integration of functions of low-order continuity

Error Bounds in Gaussian Integration of Functions of Low-Order Continuity

The standard error term in the Gaussian integration rule with N points involves the derivative of order 27V of the integrand. This seems to indicate that such a rule is not efficient for integrating functions of low-order continuity, i.e. functions which have only a few derivatives in the entire interval of integration. However, Stroud and Secrest [3] have shown that Gaussian integration is eff...

a contrastive study of rhetorical functions of citation in iranian and international elt scopus journals

writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...

Error bounds in approximating n-time differentiable functions of self-adjoint operators in Hilbert spaces via a Taylor's type expansion

On utilizing the spectral representation of selfadjoint operators in Hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in Hilbert Spaces via a Taylor's type expansion are given.

Gaussian Bounds for Noise Correlation of Functions

In this paper we derive tight bounds on the expected value of products of low influence functions defined on correlated probability spaces. The proofs are based on extending Fourier theory to an arbitrary number of correlated probability spaces, on a generalization of an invariance principle recently obtained with O’Donnell and Oleszkiewicz for multilinear polynomials with low influences and bo...

Autoregressive Gaussian Random Vectors of First Order