Tikhonov 泛函可分近似罚项的灵敏性分析

摘要

In order to study the sensitivity of separable approximate penalization in Tikhonov functional,this paper accords to the study of smooth penalty approximate Tikhonov functional in terms of non-smooth penalty,based on the classic Tikhonov func-tional and certain assumptions,uses separable Banach space p frame and sequential Kadec-Klee property,prove its sensitivity of separable approximate penalty.The result shows that the minimum of separable approximate function convergences to the mini-mum of the original functional.%为了研究 Tikhonov 泛函可分近似罚项的灵敏性，根据光滑罚项近似 Tikhonov 泛函中不光滑罚项的研究，基于经典的Tikhonov 泛函，在一定的假设条件下，利用可分 Banach 空间的 p 框架和序列 Kadec-Klee 性质(K-K 性质)证明其可分近似罚项的灵敏性。结果表明可分近似泛函的最小值收敛于原泛函的最小值。