In this paper we proved that for any function , , there exists a series , such that the order of approximation by interpolating polynomials of f(x) at interpolation points {θn} can be estimated by the best approximat...In this paper we proved that for any function , , there exists a series , such that the order of approximation by interpolating polynomials of f(x) at interpolation points {θn} can be estimated by the best approximation in Cωp spaces.展开更多
Let D be a domain bounded by a closed Jordan curve Γ. Let w=φ（z） be the function conformably mapping the complement of （?） onto |w|】1, φ（∞）=∞, φ′（∞）】0 andz=ψ（w） be its inverse function, ψ′（∞...Let D be a domain bounded by a closed Jordan curve Γ. Let w=φ（z） be the function conformably mapping the complement of （?） onto |w|】1, φ（∞）=∞, φ′（∞）】0 andz=ψ（w） be its inverse function, ψ′（∞）=d】0. We consider the points z<sub>n.k</sub>=ψ(w<sub>n.k</sub>),展开更多
文摘In this paper we proved that for any function , , there exists a series , such that the order of approximation by interpolating polynomials of f(x) at interpolation points {θn} can be estimated by the best approximation in Cωp spaces.
基金Project supported by the National Natural Science Foundation of China
文摘Let D be a domain bounded by a closed Jordan curve Γ. Let w=φ（z） be the function conformably mapping the complement of （?） onto |w|】1, φ（∞）=∞, φ′（∞）】0 andz=ψ（w） be its inverse function, ψ′（∞）=d】0. We consider the points z<sub>n.k</sub>=ψ(w<sub>n.k</sub>),
