In this paper,by using the tools of second order smooth module,we discusses the conformal mapping from a unit circle onto a simply connected domain enclosed by a smooth Jordan curve L ,and further improves the Kellog...In this paper,by using the tools of second order smooth module,we discusses the conformal mapping from a unit circle onto a simply connected domain enclosed by a smooth Jordan curve L ,and further improves the Kellogg theorem.展开更多
We introduce a modification of Kantorovich-type operators in polynomial weighted spaces of functions. Then we study some approximation properties of these operators. We give some inequalities for these operators by me...We introduce a modification of Kantorovich-type operators in polynomial weighted spaces of functions. Then we study some approximation properties of these operators. We give some inequalities for these operators by means of the weighted modulus continuity and also obtain a Voronovskaya-type theorem. Furthermore, in our paper show that the operators give better degree of approximation of functions belonging to weighted spaces than classical Szaisz- Kantorovich operators.展开更多
文摘In this paper,by using the tools of second order smooth module,we discusses the conformal mapping from a unit circle onto a simply connected domain enclosed by a smooth Jordan curve L ,and further improves the Kellogg theorem.
文摘We introduce a modification of Kantorovich-type operators in polynomial weighted spaces of functions. Then we study some approximation properties of these operators. We give some inequalities for these operators by means of the weighted modulus continuity and also obtain a Voronovskaya-type theorem. Furthermore, in our paper show that the operators give better degree of approximation of functions belonging to weighted spaces than classical Szaisz- Kantorovich operators.
