摘要
研究了全纯Q_(p)空间中的基于有限差分的q-光滑模,获得q-光滑模在Q_(p)空间中的一些性质并利用推广的Abel-Poisson平均算子得到Jackson逼近定理.最后,利用de laVallée Poussin算子定量给出Q_(p)空间的最佳逼近.
A kind of new q-moduli of smoothness defined by the finite difference is discussed in Q_(p)spaces.One main result describes some properties of q-moduli of smoothness and Jackson theorem by the oprators constructed by generalized Abel-Poisson means.Finally the best quantitative approximation is obtained by de la Vallée Poussin operators in Q_(p)spaces.
作者
王志军
陈英伟
常之魁
WANG Zhijun;CHEN Yingwei;CHANG Zhikui(College of Mathematics and Statistics,Hebei University of Economics and Business,Hebei Shiiazhuang 050061,China)
出处
《河北师范大学学报（自然科学版）》
CAS
2022年第1期11-16,共6页
Journal of Hebei Normal University：Natural Science
基金
国家自然科学基金(11801132)
河北省教育厅科技重点项目(ZD2020109)。
