VARIATIONAL Lq-APPROXIMATION BY VARISOLVENT FAMILY UNDER THE YOUNG'S CONDITION

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (3): 330-340.

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

罗祖华

Dept. of Mathematics & Computer Science, University of Leicester, Leicester LE1 5BH, U. K.

收稿日期:1995-03-09 出版日期:1997-09-25 发布日期:1997-09-25

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

Luo Zuhua

Dept. of Mathematics & Computer Science, University of Leicester, Leicester LE1 5BH, U. K.

Received:1995-03-09 Online:1997-09-25 Published:1997-09-25

摘要/Abstract

摘要： The new L^q 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

Abstract: The new L^q 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.

Key words: Varisolvency, Young's condition, Best approximation, Property Z

罗祖华. VARIATIONAL L^q-APPROXIMATION BY VARISOLVENT FAMILY UNDER THE YOUNG'S CONDITION[J]. 数学物理学报(英文版), 1997, 17(3): 330-340.

Luo Zuhua. VARIATIONAL L^q-APPROXIMATION BY VARISOLVENT FAMILY UNDER THE YOUNG'S CONDITION[J]. Acta mathematica scientia,Series B, 1997, 17(3): 330-340.

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

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

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