Natural Sciences, Mathematics, 2026
Uniqueness theorem for sequences of piecewise polynomial functions
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Submitted: 2024-12-17
© 2026 by author(s) and The Gufo Inc.
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Abstract
In the paper sequences of piecewise polynomial functions are considered, where each of the function is the projection of subsequent ones. A reconstruction theorem is proved for such sequences converging in measure from its limit if the majorant of the sequence satisfies some condition..