Open AccessInequalities of Bernstein type for splines in $L_2(\mathbb{R})$ space
Author(s) -
В. Ф. Бабенко,
Susanna Spektor
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/240803
Subject(s) - type (biology) , mathematics , space (punctuation) , inequality , pure mathematics , mathematical analysis , computer science , geology , paleontology , operating system
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.