2025/08/26 by Babenko, V., Kolesnyk, V., Kovalenko, O.
#41A17 #41A44 #41A55 #41A65 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2508.18747
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.