Inequalities of Bernstein type for splines in $$$L_2(\mathbb{R})$$$ space

V.F. Babenko; S.A. Spektor

doi:10.15421/240803

Inequalities of Bernstein type for splines in $$$L_2(\mathbb{R})$$$ space

V.F. Babenko (Oles Honchar Dnipropetrovsk National University, Institute of Applied Mathematics and Mechanics of NAS of Ukraine), https://orcid.org/0000-0001-6677-1914
S.A. Spektor (Oles Honchar Dnipropetrovsk National University)

Abstract

We obtain sharp inequality of Bernstein type in $$$L_2(\mathbb{R})$$$ space for non-periodic spline functions of degree $$$m$$$, of minimal defect, with equidistant knots.

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References

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