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arXiv · 2508.18747

Some optimal recovery problems for operators on classes of $L$-space valued functions

V. Babenko·V. Kolesnyk·O. Kovalenko
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Abstract

We solve three optimal recovery problems for operators on classes of $L$-space (which is a semilinear metric space with two additional axioms that connect the metric with the algebraic operations) valued functions that are defined by a majorant of their modulus of continuity. Consideration of $L$-spaces valued functions allows to treat multi- and fuzzy-valued functions, as well as random processes and other non-real valued functions in a unified manner.

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V. Babenko, V. Kolesnyk, O. Kovalenko. 2025-08-26. Some optimal recovery problems for operators on classes of $L$-space valued functions. https://arxiv.org/abs/2508.18747

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