Adaptive optimal regularization of the linear ill posed integral\n equations

2010/04/05 by E. Ostrovsky L. Sirota, Sirota, E. Ostrovsky L.
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1004.0662

openalex publication_date 2010/04/05 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28

Abstract

We construct an adaptive asymptotically optimal in order in the L(2) \nsense a solution (estimation) of an integral linear equation of a first kind\nand energy of this solution with the confidence region building, also adaptive.\n

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