WT5,5”BX]A general class of nonlinear best approximation problems on C(X) is considered, from the point of view of existence and characterization of solutions. The general framework is such that it embraces a wide ra...WT5,5”BX]A general class of nonlinear best approximation problems on C(X) is considered, from the point of view of existence and characterization of solutions. The general framework is such that it embraces a wide range of problems, including those of simultaneous approximation, mixed norm approximation, additive weight approximation and metric approximation. [WT5,5”HZ]展开更多
In the space C[-1,1],G G Lorentz proposed four conjectures on the properties of the polynomials of the best approximation in 1977,1978 and 1980.The present paper transplants the four conjectures in the space Lρ2[-a,a...In the space C[-1,1],G G Lorentz proposed four conjectures on the properties of the polynomials of the best approximation in 1977,1978 and 1980.The present paper transplants the four conjectures in the space Lρ2[-a,a] and proves them being all right in only one theorem under the corresponding conditions,although each of the original conjectures is very difficulty.展开更多
文摘WT5,5”BX]A general class of nonlinear best approximation problems on C(X) is considered, from the point of view of existence and characterization of solutions. The general framework is such that it embraces a wide range of problems, including those of simultaneous approximation, mixed norm approximation, additive weight approximation and metric approximation. [WT5,5”HZ]
文摘In the space C[-1,1],G G Lorentz proposed four conjectures on the properties of the polynomials of the best approximation in 1977,1978 and 1980.The present paper transplants the four conjectures in the space Lρ2[-a,a] and proves them being all right in only one theorem under the corresponding conditions,although each of the original conjectures is very difficulty.
