Sharp inequalities of Kolmogorov type for non-periodic functions on the real domain

T.R. Bіkkuzhyna; V.A. Kofanov

doi:10.15421/241501

Sharp inequalities of Kolmogorov type for non-periodic functions on the real domain

T.R. Bіkkuzhyna (Oles Honchar Dnipropetrovsk National University)
V.A. Kofanov (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0003-0392-2257

Abstract

We obtained sharp inequalities of Kolmogorov type for non-periodic functions on the real domain. The obtained results were applied to solve some extremum problems for non-periodic functions and splines on the real domain.

Keywords

inequality of Kolmogorov type; norm; local norm; problem of Bojanov–Naidenov type; nonperiodic splines

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References

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