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

Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (S1): 92-99.

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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

Abstract

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

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

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