Recently some classical operator quasi-interpolants were introduced to obtain much faster convergence. A.T. Diallo investigated some approximation properties of Szasz-Mirakjan Quasi-Interpolants, but he obtained only ...Recently some classical operator quasi-interpolants were introduced to obtain much faster convergence. A.T. Diallo investigated some approximation properties of Szasz-Mirakjan Quasi-Interpolants, but he obtained only direct theorem with Ditzian-Totik modulus wφ^2r （f, t）. In this paper, we extend Diallo＇s result and solve completely the characterization on the rate of approximation by the method of quasi-interpolants to functions f ∈ CB[0, ∞） by making use of the unified modulus wφ^2r（f, t） （0≤λ≤ 1）.展开更多
把可微规划的Mond Weir对偶推广到非光滑规划的广义Mond Weir对偶 ,然后在广义 η 严格伪凸函数 ,广义 η 伪凸函数、广义 η 拟凸函数和广义 η 弱拟凸函数四类广义凸函数条件下 ,讨论了该非光滑规划的广义Mond Weir对偶 ,得到了相应...把可微规划的Mond Weir对偶推广到非光滑规划的广义Mond Weir对偶 ,然后在广义 η 严格伪凸函数 ,广义 η 伪凸函数、广义 η 拟凸函数和广义 η 弱拟凸函数四类广义凸函数条件下 ,讨论了该非光滑规划的广义Mond Weir对偶 ,得到了相应的弱对偶定理。展开更多
基金the National Natural Science Foundation of China (No.10571040)the Doctoral Foundation of Hebei Normal University (No.L2004B04)
文摘Recently some classical operator quasi-interpolants were introduced to obtain much faster convergence. A.T. Diallo investigated some approximation properties of Szasz-Mirakjan Quasi-Interpolants, but he obtained only direct theorem with Ditzian-Totik modulus wφ^2r （f, t）. In this paper, we extend Diallo＇s result and solve completely the characterization on the rate of approximation by the method of quasi-interpolants to functions f ∈ CB[0, ∞） by making use of the unified modulus wφ^2r（f, t） （0≤λ≤ 1）.
