Exact upper bounds of norms of polynomials, splines, and their derivatives on arbitrary interval

V.A. Kofanov

doi:10.15421/241111

Exact upper bounds of norms of polynomials, splines, and their derivatives on arbitrary interval

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

Abstract

We establish sharp estimates of the $$$L_q$$$-norms on any finite interval for the polynomials and splines and their derivatives with the help of local $$$L_p$$$-norms of these polynomials and splines.

Keywords

inequalities for derivatives; polynomials and splines

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References

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