In this paper,we give four characteristic theorems of the natural Tchebysheff splint functionassociated with multiple knots.These theorems possess specific form,that arc convenient forapplicaton;In the case of with si...In this paper,we give four characteristic theorems of the natural Tchebysheff splint functionassociated with multiple knots.These theorems possess specific form,that arc convenient forapplicaton;In the case of with simple knots or polynomial splint,the corollaries of this paper’s the-orems give corresponding results.展开更多
In numerical analysis, it is significant to approximate the linear functional Ef=sum from i=0 to m-1([integral from a to b(a<sub>1</sub>(x)f<sup>1</sup>(x)dx+ sum from f=0 to i<sub>1&...In numerical analysis, it is significant to approximate the linear functional Ef=sum from i=0 to m-1([integral from a to b(a<sub>1</sub>(x)f<sup>1</sup>(x)dx+ sum from f=0 to i<sub>1</sub>(b<sub>1</sub>f<sup>1</sup>(x<sub>1</sub>))]) by a simpler linear functional Lf=sum from i=1 to m(a<sub>1</sub>f(x<sub>1</sub>)) In this paper, making use of natural Tchebysheff spline function, we give existence theorem and uniqueness theorem of L that is exact for the degree m to F; we also give three sufficient and necessary conditions in which L is the Sard best approximation to F.展开更多
In this paper,we obtain the characterizations on μ for(p,q)-φCarleson measure,and discuss the boundedness(and compactness) of the extended Cesaro operators T g between different weighted Bergman spaces as some a...In this paper,we obtain the characterizations on μ for(p,q)-φCarleson measure,and discuss the boundedness(and compactness) of the extended Cesaro operators T g between different weighted Bergman spaces as some application.展开更多
文摘In this paper,we give four characteristic theorems of the natural Tchebysheff splint functionassociated with multiple knots.These theorems possess specific form,that arc convenient forapplicaton;In the case of with simple knots or polynomial splint,the corollaries of this paper’s the-orems give corresponding results.
文摘In numerical analysis, it is significant to approximate the linear functional Ef=sum from i=0 to m-1([integral from a to b(a<sub>1</sub>(x)f<sup>1</sup>(x)dx+ sum from f=0 to i<sub>1</sub>(b<sub>1</sub>f<sup>1</sup>(x<sub>1</sub>))]) by a simpler linear functional Lf=sum from i=1 to m(a<sub>1</sub>f(x<sub>1</sub>)) In this paper, making use of natural Tchebysheff spline function, we give existence theorem and uniqueness theorem of L that is exact for the degree m to F; we also give three sufficient and necessary conditions in which L is the Sard best approximation to F.
基金Supported by the National Natural Science Foundation of China (Grant No. 10771064)the Natural Science Foundation of Zhejiang Province (Grant Nos. Y7080197+2 种基金 Y6090036 Y6100219)Foundation of Creative Group in Universities of Zhejiang Province (Grant No. T200924)
文摘In this paper,we obtain the characterizations on μ for(p,q)-φCarleson measure,and discuss the boundedness(and compactness) of the extended Cesaro operators T g between different weighted Bergman spaces as some application.