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


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.


inequalities for derivatives; polynomials and splines


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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991