C[-1,1]表示[-1,1]上的连续函数空间,‖·‖<sub>?</sub>是它的一致范数.又a=（a<sub>0</sub>,a<sub>1</sub>,…,a<sub>n</sub>）∈l<sup>n+1</sup>,a<sub>i<...C[-1,1]表示[-1,1]上的连续函数空间,‖·‖<sub>?</sub>是它的一致范数.又a=（a<sub>0</sub>,a<sub>1</sub>,…,a<sub>n</sub>）∈l<sup>n+1</sup>,a<sub>i</sub>∈R,记|a|<sub>2</sub>=（sum from i=0 to n a<sub>i</sub><sup>2</sup>）<sup>1/2</sup>.令和本文的主要目的是证明:展开更多
In this paper, we consider the approximate solution of the type Ⅰ , Ⅲ initial boundary valued problems of the second order linear parabolic partial differential equations. We use a new difference scheme by suitably ...In this paper, we consider the approximate solution of the type Ⅰ , Ⅲ initial boundary valued problems of the second order linear parabolic partial differential equations. We use a new difference scheme by suitably combining the difference and the basic recursion of elements in the bivariate spline space S21(Δmn(2)) to construct the approximate solutions. We have proved their convengence. And we will give a flow diagraph to display curved surface on a computer, and give an example.展开更多
The purpose of this paper is to prove a Holder property about the fractal interpolation function L(x), ω(L,δ)=O(δ~α), and an approximate estimate |f-L|≤2{α(h)+||f||/1-h^(2-D)·h^(2-D)}, where D is a fractal ...The purpose of this paper is to prove a Holder property about the fractal interpolation function L(x), ω(L,δ)=O(δ~α), and an approximate estimate |f-L|≤2{α(h)+||f||/1-h^(2-D)·h^(2-D)}, where D is a fractal dimension of L(x).展开更多
Parameter identification problem is one of essential problem in order to model effectively experimental data by fractal interpolation function.In this paper,we first present an example to explain a relationship betwee...Parameter identification problem is one of essential problem in order to model effectively experimental data by fractal interpolation function.In this paper,we first present an example to explain a relationship between iteration procedure and fractal function.Then we discuss conditions that vertical scaling factors must obey in one typical case.展开更多
In this paper, we firstly introduce an-operator related with FIF. Then, we get an efficient method by this operator to solve the inverse problem of FIF and the inverse problem of piecewise FIF.
X(t)(t∈[0,∞)) is a subordinator with its upper index β less than one, g(u) is the index function of X(t), and X[0,1]={x∈R:X(t)=x}, for some t∈ }. If (s)(s∈(0,1) ) is a measure function and h(s)=(s)g1s, then h-p(...X(t)(t∈[0,∞)) is a subordinator with its upper index β less than one, g(u) is the index function of X(t), and X[0,1]={x∈R:X(t)=x}, for some t∈ }. If (s)(s∈(0,1) ) is a measure function and h(s)=(s)g1s, then h-p(X)=0\ \ a.s. +∞\ a.s. according as ∫ 1 0φ 2(s)s d s<+∞, =+∞.The packing dimension of X(t) is the upper index β .展开更多
文摘C[-1,1]表示[-1,1]上的连续函数空间,‖·‖<sub>?</sub>是它的一致范数.又a=（a<sub>0</sub>,a<sub>1</sub>,…,a<sub>n</sub>）∈l<sup>n+1</sup>,a<sub>i</sub>∈R,记|a|<sub>2</sub>=（sum from i=0 to n a<sub>i</sub><sup>2</sup>）<sup>1/2</sup>.令和本文的主要目的是证明:
文摘In this paper, we consider the approximate solution of the type Ⅰ , Ⅲ initial boundary valued problems of the second order linear parabolic partial differential equations. We use a new difference scheme by suitably combining the difference and the basic recursion of elements in the bivariate spline space S21(Δmn(2)) to construct the approximate solutions. We have proved their convengence. And we will give a flow diagraph to display curved surface on a computer, and give an example.
文摘The purpose of this paper is to prove a Holder property about the fractal interpolation function L(x), ω(L,δ)=O(δ~α), and an approximate estimate |f-L|≤2{α(h)+||f||/1-h^(2-D)·h^(2-D)}, where D is a fractal dimension of L(x).
文摘Parameter identification problem is one of essential problem in order to model effectively experimental data by fractal interpolation function.In this paper,we first present an example to explain a relationship between iteration procedure and fractal function.Then we discuss conditions that vertical scaling factors must obey in one typical case.
文摘In this paper, we firstly introduce an-operator related with FIF. Then, we get an efficient method by this operator to solve the inverse problem of FIF and the inverse problem of piecewise FIF.
文摘X(t)(t∈[0,∞)) is a subordinator with its upper index β less than one, g(u) is the index function of X(t), and X[0,1]={x∈R:X(t)=x}, for some t∈ }. If (s)(s∈(0,1) ) is a measure function and h(s)=(s)g1s, then h-p(X)=0\ \ a.s. +∞\ a.s. according as ∫ 1 0φ 2(s)s d s<+∞, =+∞.The packing dimension of X(t) is the upper index β .
