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A perturbed collage theorem and its application to inverse interval integral problems (2002.01418v1)
Published 4 Feb 2020 in math.NA, cs.NA, and math.FA
Abstract: This paper deals with inverse problems subject to imprecise or vague information of some involved data by means of interval-valued functions. To provide interval solutions to the inverse problems we have adopted a perturbed collage-based approach and we have also introduced a numerical procedure by means of the use of interval bases in a sense. To illustrate the results, and as an application, we have studied the Volterra interval-valued integral equation, and provide some computational examples.