Q_p空间中K-泛函与光滑模等价性  

EQUIVALENCE OF K-FUNCTIONAL AND MODULUS OF SMOOTHNESS IN Q_p SPACES

作　　者：陈英伟[1] 赵秀恒[1] 李子芳[1] 

机构地区：[1]河北经贸大学数统学院,石家庄050061

出　　处：《高等学校计算数学学报》2015年第4期348-359,共12页Numerical Mathematics A Journal of Chinese Universities

基　　金：河北省自然科学基金(A2015207007);河北省教育厅科研基金(QN20131027);河北经贸大学校内科研基金(2013KYQ07)

摘　　要：1引言令G（·。K-functionals are introduced by the radial derivative in Qp spaces on the unit disc of the complex plane. First, the Bernstein inequality in Qp spaces is obtained by means of the Riesz interpolation theorem which interprets the derivative operator as translation operators. Second, equivalent properties of K- functional and modulus of smoothness are acquired via different ways. Finally, Marchaud inequality for modulus of smoothness is also extended to Qp spaces.

关 键 词：K-泛函 QP空间 等价性 光滑模 GREEN函数 单位圆盘 复平面 极点 

分 类 号：O174.41[理学—数学]