The Jackson-type estimates by using some elliptic operators will be achieved. These results will be used to characterize the regularity of some elliptic operators by means of the approximation degree and the saturatio...The Jackson-type estimates by using some elliptic operators will be achieved. These results will be used to characterize the regularity of some elliptic operators by means of the approximation degree and the saturation class of the multivariate Bernstein operators as well.展开更多
After many years＇ endeavor of research and application practice, the ocean color remote sensing in China has been growing into a new technique with valuable practicality from its initiate stage of trial research. Wit...After many years＇ endeavor of research and application practice, the ocean color remote sensing in China has been growing into a new technique with valuable practicality from its initiate stage of trial research. With the aim of operational service, several kinds of ocean color remote sensing application systems have been developed and realized the long-term marine environmental monitoring utilizing the real-time or near real-time satellite and airborne remote sensing data. New progresses in the technology and application of ocean color remote sensing in China are described, including the research of key techniques and the development of various application systems. Meanwhile, according to the application status and demand, the prospective development of Chinese ocean color remote sensing is brought forward. With Chinese second ocean color satellite （ HY-1 B） orbiting on 11 April 2007 and the development of airborne ocean color remote sensing system for Chinese surveillance planes, great strides will take place in Chinese ocean color remote sensing application with the unique function in marine monitoring, resources management and national security, etc.展开更多
In this paper we introduce a kind of kernels called δ-kernels.Based on them linear opera- tors from the continuous mapping space to R^m are constructed.We give an important appli- cation in Optimization after discuss...In this paper we introduce a kind of kernels called δ-kernels.Based on them linear opera- tors from the continuous mapping space to R^m are constructed.We give an important appli- cation in Optimization after discussing the properties of these operators.展开更多
In this work we present a result about the approximation of the k-th derivative of a function by means of a linear operator under assumptions related to shape preserving properties. As a consequence we deduce new resu...In this work we present a result about the approximation of the k-th derivative of a function by means of a linear operator under assumptions related to shape preserving properties. As a consequence we deduce new results about the Meyer-K?nig and Zeller operators.展开更多
By rewriting the projection operator P<sub>0</sub> in wavelets in another formula,we obtain a characterization of dim J<sub>V</sub><sub>0</sub>（x）where V<sub>0</sub> i...By rewriting the projection operator P<sub>0</sub> in wavelets in another formula,we obtain a characterization of dim J<sub>V</sub><sub>0</sub>（x）where V<sub>0</sub> is a Γ-shift-invariant subspace of L<sup>2</sup>（R<sup>n</sup>）derived from a dual wavelet basis and prove that there does not exist a wavelet function ψ ∈ L<sup>2</sup>（R）such that （?）has compact support and ∪<sub>k</sub>∈ZZ（supp■+4πk）=R up to a zero subset of R.展开更多
文摘The Jackson-type estimates by using some elliptic operators will be achieved. These results will be used to characterize the regularity of some elliptic operators by means of the approximation degree and the saturation class of the multivariate Bernstein operators as well.
基金the National Natural Science Foundation of China under contract Nos 40706061 and 40506036High Tech Research and Development (863) Program of China under contract Nos 2008AA09Z104 and 2007AA12Z137
文摘After many years＇ endeavor of research and application practice, the ocean color remote sensing in China has been growing into a new technique with valuable practicality from its initiate stage of trial research. With the aim of operational service, several kinds of ocean color remote sensing application systems have been developed and realized the long-term marine environmental monitoring utilizing the real-time or near real-time satellite and airborne remote sensing data. New progresses in the technology and application of ocean color remote sensing in China are described, including the research of key techniques and the development of various application systems. Meanwhile, according to the application status and demand, the prospective development of Chinese ocean color remote sensing is brought forward. With Chinese second ocean color satellite （ HY-1 B） orbiting on 11 April 2007 and the development of airborne ocean color remote sensing system for Chinese surveillance planes, great strides will take place in Chinese ocean color remote sensing application with the unique function in marine monitoring, resources management and national security, etc.
文摘In this paper we introduce a kind of kernels called δ-kernels.Based on them linear opera- tors from the continuous mapping space to R^m are constructed.We give an important appli- cation in Optimization after discussing the properties of these operators.
基金Junta de AndalucíaGrupo de Investigación Approximacióny Métodos Numéricoscódigo FQM 0 1 78.
文摘In this work we present a result about the approximation of the k-th derivative of a function by means of a linear operator under assumptions related to shape preserving properties. As a consequence we deduce new results about the Meyer-K?nig and Zeller operators.
文摘By rewriting the projection operator P<sub>0</sub> in wavelets in another formula,we obtain a characterization of dim J<sub>V</sub><sub>0</sub>（x）where V<sub>0</sub> is a Γ-shift-invariant subspace of L<sup>2</sup>（R<sup>n</sup>）derived from a dual wavelet basis and prove that there does not exist a wavelet function ψ ∈ L<sup>2</sup>（R）such that （?）has compact support and ∪<sub>k</sub>∈ZZ（supp■+4πk）=R up to a zero subset of R.
