Open AccessExact upper bounds of norms of polynomials, splines, and their derivatives on arbitrary interval
Author(s) -
В. А. Кофанов
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241111
Subject(s) - mathematics , interval (graph theory) , pure mathematics , orthogonal polynomials , box spline , spline (mechanical) , combinatorics , algebra over a field , spline interpolation , statistics , physics , bilinear interpolation , thermodynamics
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.