A gyroscopic polynomial basis in the sphere

investigating the integration of translation technologies into translation programs in iranian universities: basis for a syllabus design in translation technology

today, information technology and computers are indispensable tools of any profession and translation technologies have become an indispensable part of translator’s workstation. with the increasing demands for high productivity and speed as well as consistency and with the rise of new demands for translation and localization, it is necessary for translators to be familiar with market demands an...

Polynomial frames on the sphere

We introduce a class of polynomial frames suitable for analyzing data on the surface of the unit sphere of a Euclidean space. Our frames consist of polynomials, but are well localized, and are stable with respect to all the Lp norms. The frames belonging to higher and higher scale wavelet spaces have more and more vanishing moments. 1 ∗The research of this author was supported, in part, by gran...

Filtered polynomial approximation on the sphere

Localised polynomial approximations on the sphere have a variety of applications in areas such as signal processing, geomathematics and cosmology. Filtering is a simple and effective way of constructing a localised polynomial approximation. In this thesis we investigate the localisation properties of filtered polynomial approximations on the sphere. Using filtered polynomial kernels and a speci...

Polynomial Interpolation on the Unit Sphere

Localized Linear Polynomial Operators on the Sphere

The purpose of this paper is to construct universal, auto–adaptive, localized, linear, polynomial (-valued) operators based on scattered data on the (hyper–)sphere Sq (q ≥ 2). The approximation and localization properties of our operators are studied theoretically in deterministic as well as probabilistic settings. Numerical experiments are presented to demonstrate their superiority over tradit...