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 the first part of this paper,we discuss some properties of S~Ω(K_n),L_p~Ω(K_n) and L_p~Ω(K^n;l_a) spaces,give the Plancherel-Polya-Nikol'skij type inequalities and some multipli- er theorems.In the second pa...In the first part of this paper,we discuss some properties of S~Ω(K_n),L_p~Ω(K_n) and L_p~Ω(K^n;l_a) spaces,give the Plancherel-Polya-Nikol'skij type inequalities and some multipli- er theorems.In the second part of this paper,using the results of Part I we prove some prelimi- nary results for the spaces B_(p,q)~s(K_n) and F_(p,q)~s(K_n).展开更多
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 the first part of this paper,we discuss some properties of S~Ω(K_n),L_p~Ω(K_n) and L_p~Ω(K^n;l_a) spaces,give the Plancherel-Polya-Nikol'skij type inequalities and some multipli- er theorems.In the second part of this paper,using the results of Part I we prove some prelimi- nary results for the spaces B_(p,q)~s(K_n) and F_(p,q)~s(K_n).