Bernstein type inequalities for splines

V.F. Babenko; V.A. Zontov

doi:10.15421/241203

Bernstein type inequalities for splines

V.F. Babenko (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0001-6677-1914
V.A. Zontov (Oles Honchar Dnipropetrovsk National University)

Abstract

New sharp Bernstein type inequalities in the space $$$L_2(\mathbb{R})$$$ for the differences of non-periodic splines of order $$$m$$$ and minimal defect, having equidistant nodes, are obtained.

Keywords

non-periodic splines; B-splines; inequalities of Bernstein type

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References

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