左拟中插式Gamma算子在Orlicz空间中的逼近性质

摘要 为了得到更快的逼近速度，人们开始研究算子的拟中插式的逼近性质.在Orlicz空间中讨论左拟中插式Gamma算子的逼近性质，利用了Ditzian-Totik模与K-泛函的等价性、H？lder不等式、Cauchy-Schwarz不等式和Laguerre多项式等等工具得到了逼近的正、逆和等价定理，推广了左拟中插式Gamma算子在Lp空间中的逼近结果，改进了Gamma算子在Orlicz空间的逼近性质.
Abstract：In order to reach better approximation degree, people start to study the quasiinterpolants of operators. In this paper, approximation properties of left quasi-interpolants Gamma operators are discussed by the tools of Ditizan-Totik modulus, K-functional, H？lder's inequality, Cauchy-Schwarz's inequality and Laguerre polynomials and so on. Then we obtain the direct, inverse and equivalence theorems which generalize the results of left quasi-interpolants Gamma operators in Lp space and improve the approximation properties of Gamma operators in Orlicz spaces.