Strongly convex squared norms

TitleStrongly convex squared norms
Publication TypeJournal Article
Year of Publication2023
AuthorsAcu, A-M, Rasa, I, Şteopoaie, AEmilia
JournalDolomites Research Notes on Approximation
Volume16
Issue2
Pagination23-25
Date Published01/2023
PublisherPadova University Press
Place PublishedPadova, IT
ISSN Number2035-6803
Abstract

Normed spaces for which the squared norm is strongly conves are intensively studied in literature. This note is motivated by the fact that a strongly convex squared norm plays a role in quantitative Korovkin approximation. We are concerned especially with the strong convexity of ∥ · ∥2 p on R 2 , 1 < p < 2.

URLhttps://drna.padovauniversitypress.it/2023/2/3
DOI10.14658/pupj-drna-2023-2-3