A kind of Kantorovich-type operator of Butzer-Hahn B*_n(f; x) on the bounded and integrable function space was introduced, and the properties of B*_n(f; x) were studied. Positive theorem, converse theorem, and the ord...A kind of Kantorovich-type operator of Butzer-Hahn B*_n(f; x) on the bounded and integrable function space was introduced, and the properties of B*_n(f; x) were studied. Positive theorem, converse theorem, and the order of weighted ~approximation of B*_n(f; x) were obtained.展开更多
利用经典的Zeng分解方法,并结合Bleimann-Butzer and Hahn算子基函数的界,讨论了Bleimann-Butzer and Hahn-Bézier算子在0<α<1时对一般有界函数的逼近,得到比较好的收敛阶估计,所得结果拓展了在α≥1时对有界变差函数逼近...利用经典的Zeng分解方法,并结合Bleimann-Butzer and Hahn算子基函数的界,讨论了Bleimann-Butzer and Hahn-Bézier算子在0<α<1时对一般有界函数的逼近,得到比较好的收敛阶估计,所得结果拓展了在α≥1时对有界变差函数逼近的研究工作.展开更多
The aim of this paper is to prove the following theorem concerning the term by term differentiation the-orem of Walsh-Kaczmarz series. Let (ck) be a decreasing real sequence withare integrable functions and f(x) is a....The aim of this paper is to prove the following theorem concerning the term by term differentiation the-orem of Walsh-Kaczmarz series. Let (ck) be a decreasing real sequence withare integrable functions and f(x) is a. e. dyadic (or Butzer and Wagner) differentiate withThe function Kk means the kth Walsh-Kaczmarz function.展开更多
The concept of para-differential operators over locally compact Vilenkin groups is given and their properties are studied. By means of para-linearization theorem, efforts are made to establish the basic theory of Gibb...The concept of para-differential operators over locally compact Vilenkin groups is given and their properties are studied. By means of para-linearization theorem, efforts are made to establish the basic theory of Gibbs-Butzer differential operators.展开更多
The concept of para-product operators over locally compact Vilenkin groups is established and the applications to the para-linearization in nonlinear problems are studied. This kind of operators plays a special role i...The concept of para-product operators over locally compact Vilenkin groups is established and the applications to the para-linearization in nonlinear problems are studied. This kind of operators plays a special role in dealing with those functions which do not have the classical derivatives.展开更多
文摘A kind of Kantorovich-type operator of Butzer-Hahn B*_n(f; x) on the bounded and integrable function space was introduced, and the properties of B*_n(f; x) were studied. Positive theorem, converse theorem, and the order of weighted ~approximation of B*_n(f; x) were obtained.
基金Research supported by the Hungarian"M uvel odesi es Kozoktatosi Miniszterium",grant no.FKFP0182/200O,the Bolyai Fellowship of the Hungarian Academy of Science and the Hungarian National Foundation for Scientific Research(OTKA),grant no.M 36511/2001.
文摘The aim of this paper is to prove the following theorem concerning the term by term differentiation the-orem of Walsh-Kaczmarz series. Let (ck) be a decreasing real sequence withare integrable functions and f(x) is a. e. dyadic (or Butzer and Wagner) differentiate withThe function Kk means the kth Walsh-Kaczmarz function.
文摘The concept of para-differential operators over locally compact Vilenkin groups is given and their properties are studied. By means of para-linearization theorem, efforts are made to establish the basic theory of Gibbs-Butzer differential operators.
基金the National Natural Science Foundation of China
文摘The concept of para-product operators over locally compact Vilenkin groups is established and the applications to the para-linearization in nonlinear problems are studied. This kind of operators plays a special role in dealing with those functions which do not have the classical derivatives.
