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Sulla «Regolarizzazione» dei dati sperimentali

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Sommario

In questa nota si descrive un metodo numerico per risolvere il problema generalizzato della «regolarizzazione» dei dati sperimentali quando si usa il funzionale di Schoenberg e di Whittaker; inoltre si stabiliscono alcuni criteri per la determinazione dei «parametri di regolarizzazione». Questo metodo è particolarmente conveniente per risolvere numericamente le equazioni integrali lineari di Fredholm di prima specie.

Abstract

In this paper a numerical method has been developed to solve the generalized problem of smoothing experimental data, when the Scheonberg's and the Whittaker's functionals are considered; some criteria for the determination of the «smoothing parameters» have been established. This method is especially convenient to solve numerically the Fredholm linear integral equations of the first kind.

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Galligani, I. Sulla «Regolarizzazione» dei dati sperimentali. Calcolo 8, 359–376 (1971). https://doi.org/10.1007/BF02575802

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  • DOI: https://doi.org/10.1007/BF02575802

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