Some optimal recovery problems for operators on classes of $L$-space valued functions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911122685165568 |
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| author | Babenko, V. Kolesnyk, V. Kovalenko, O. |
| author_facet | Babenko, V. Kolesnyk, V. Kovalenko, O. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18747 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some optimal recovery problems for operators on classes of $L$-space valued functions Babenko, V. Kolesnyk, V. Kovalenko, O. Functional Analysis 41A55, 41A65, 41A17, 41A44 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. |
| title | Some optimal recovery problems for operators on classes of $L$-space valued functions |
| topic | Functional Analysis 41A55, 41A65, 41A17, 41A44 |
| url | https://arxiv.org/abs/2508.18747 |