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Pointwise Estimates for Linear Combinations of Gamma Operators
Authors:Qiulan Qi  Shunsheng Guo  Zhanjie Song  Lixia Liu
Affiliation:(1) Department of Mathematics, Hebei Normal University, Shijiazhuang, 050016, P. R. China
Abstract:For linear combinations of Gamma operators Gn,r(f,x), we give an equivalent theorem with $$omega^{2r}_{philambda}$$(f,t), where $$omega^{2r}_{philambda}$$(f,t) are the Ditzian-Totik moduli of smoothness ($$(frac{1}{2}-frac{1}{2r}lelambdale1)$$).AMS Subject Classification (1991): 41A25, 41A36.Supported by NSF of Hebei ProvinceSupported by NSF of Hebei Province
Keywords:Gamma operator  Moduli of Smoothness  Linear Combination
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