In this paper,a strong converse inequality of type B in terms of a new Kfunctional Kλα f,t2(0 < α < 2,0 ≤λ≤ 1) for certain mixed Szász-Beta operators is given.By this inequality,the converse theorem c...In this paper,a strong converse inequality of type B in terms of a new Kfunctional Kλα f,t2(0 < α < 2,0 ≤λ≤ 1) for certain mixed Szász-Beta operators is given.By this inequality,the converse theorem can be obtained for the operators.展开更多
In this paper, we obtain the strong converse inequality for Száisz operators with K-functional by introducing a new K-functional of the formKλ^α（f,t^2） =inf g∈Cλ^2{‖f -g‖o ＋t^2‖g‖2} （0 ≤ λ≤ 1,0 ≤...In this paper, we obtain the strong converse inequality for Száisz operators with K-functional by introducing a new K-functional of the formKλ^α（f,t^2） =inf g∈Cλ^2{‖f -g‖o ＋t^2‖g‖2} （0 ≤ λ≤ 1,0 ≤α ≤ 2）,where ‖· ‖o, ‖· ‖2,Cλ^2 are defined in the paper. As for its applications, we have extended some results before this paper.展开更多
基金Supported by National Science Foundation of China（10571040）
文摘In this paper,a strong converse inequality of type B in terms of a new Kfunctional Kλα f,t2(0 < α < 2,0 ≤λ≤ 1) for certain mixed Szász-Beta operators is given.By this inequality,the converse theorem can be obtained for the operators.
基金the National Natural Science Foundation of China （No. 10571040） the Natural Science Foundation of Hebei Province （No. A2004000137）+1 种基金 the Doctorial Fund of Education Department of Hebei Province （No. B2004118） the Doctorial Fund of Hebei Normal University （No. L2003B04）.
文摘In this paper, we obtain the strong converse inequality for Száisz operators with K-functional by introducing a new K-functional of the formKλ^α（f,t^2） =inf g∈Cλ^2{‖f -g‖o ＋t^2‖g‖2} （0 ≤ λ≤ 1,0 ≤α ≤ 2）,where ‖· ‖o, ‖· ‖2,Cλ^2 are defined in the paper. As for its applications, we have extended some results before this paper.
