Szàsz-Mirakjan算子拟中插式的点态逼近等价定理(英文)

摘要

Recently some classical operator quasi-interpolants were introduced to obtain much faster convergence.A.T.Diallo investigated some approximation properties of Szàsz-Mirakjan Quasi-Interpolants,but he obtained only direct theorem with Ditzian-Totik modulus ω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 ω2rλ(f,t)(0≤λ≤1).