VARIATIONAL L^q-APPROXIMATION BY VARISOLVENT FAMILY UNDER THE YOUNG'S CONDITION  

作　　者：罗祖华 

出　　处：《Acta Mathematica Scientia》1997年第3期330-340,共11页数学物理学报（B辑英文版）

摘　　要：The new Lq approximation methods proposed by A.Pinkus and O.Shisha,which maintains the characteristic feature-alternation-of the classic Chebyshev uniform approximation, is extended to varisolvent approximation under the Young's condition.The theorems of existence, characterizations, unicity, de La Vallee Poussin and continuity of the best approximation are presented.The new Lq approximation methods proposed by A.Pinkus and O.Shisha,which maintains the characteristic feature-alternation-of the classic Chebyshev uniform approximation, is extended to varisolvent approximation under the Young's condition.The theorems of existence, characterizations, unicity, de La Vallee Poussin and continuity of the best approximation are presented.

关 键 词：Varisolvency Young's condition Best approximation Property Z 

分 类 号：O174[理学—数学]