Some optimal recovery problems for operators on classes of $L$-space valued functions
Functional Analysis
2025-08-27 v1
Abstract
We solve three optimal recovery problems for operators on classes of -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 -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.
Cite
@article{arxiv.2508.18747,
title = {Some optimal recovery problems for operators on classes of $L$-space valued functions},
author = {V. Babenko and V. Kolesnyk and O. Kovalenko},
journal= {arXiv preprint arXiv:2508.18747},
year = {2025}
}