NONLINEAR APPROXIMATION OF A VARIATION OF L1 UNDER THE LOCAL HAAR CONDITION

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (S1): 92-99.

NONLINEAR APPROXIMATION OF A VARIATION OF L¹ UNDER THE LOCAL HAAR CONDITION

罗祖华

Dept. of Mathematics, Jingzhou Normal Col., Hubei 434104, China

收稿日期:1993-08-16 修回日期:1994-03-22 出版日期:1996-12-31 发布日期:1996-12-31

NONLINEAR APPROXIMATION OF A VARIATION OF L¹ UNDER THE LOCAL HAAR CONDITION

Luo Zuhua

Dept. of Mathematics, Jingzhou Normal Col., Hubei 434104, China

Received:1993-08-16 Revised:1994-03-22 Online:1996-12-31 Published:1996-12-31

摘要/Abstract

摘要： In this paper, we discuss the nonlinear approximation of a variation of L¹ under the local Haar condition. Theorems on characterizations (including alternations), unicity and strong unicity of the nonlinear approximation are obtained, the associated linear problem equivalent to the nonlinear approximation are given.

关键词: Local Haar condition, alternation, unicity, characterization, nonlinear Approximation

Abstract: In this paper, we discuss the nonlinear approximation of a variation of L¹ under the local Haar condition. Theorems on characterizations (including alternations), unicity and strong unicity of the nonlinear approximation are obtained, the associated linear problem equivalent to the nonlinear approximation are given.

Key words: Local Haar condition, alternation, unicity, characterization, nonlinear Approximation

罗祖华. NONLINEAR APPROXIMATION OF A VARIATION OF L¹ UNDER THE LOCAL HAAR CONDITION[J]. 数学物理学报(英文版), 1996, 16(S1): 92-99.

Luo Zuhua. NONLINEAR APPROXIMATION OF A VARIATION OF L¹ UNDER THE LOCAL HAAR CONDITION[J]. Acta mathematica scientia,Series B, 1996, 16(S1): 92-99.

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NONLINEAR APPROXIMATION OF A VARIATION OF L¹ UNDER THE LOCAL HAAR CONDITION

NONLINEAR APPROXIMATION OF A VARIATION OF L¹ UNDER THE LOCAL HAAR CONDITION

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