Optimal recovery of fractional powers of the Laplace difference operator
The concept of a fractional power of the Laplace difference operator of a function on an $d$-dimensional lattice is introduced, and the problem of optimal recovery from inaccurate information about the function itself is stated for this fractional power. A family of optimal recovery methods is constructed. Bibliography: 11 titles.
Authors
- Елена Олеговна Сивкова (ORCID: https://orcid.org/0000-0002-0365-4320)
Institutions
- Moscow Power Engineering Institute (RU)
- Federal State Budgetary Institution of Science Federal Scientific Center "Vladikavkaz Scientific Center of the Russian Academy of Sciences" (RU)
Publication Details
- Journal
- Sbornik Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4213/sm10196e
- Citations
- 1
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 3.73