Depending on the amount of data to process, file generation may take longer.

If it takes too long to generate, you can limit the data by, for example, reducing the range of years.

Article

Download BibTeX

Title

Hardy–Littlewood–Pólya relation in the best dominated approximation in symmetric spaces

Authors

[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[7.4] Mathematics

Year of publication

2017

Published in

Journal of Approximation Theory

Journal year: 2017 | Journal volume: vol. 213

Article type

scientific article

Publication language

english

Keywords
EN
  • symmetric space
  • strict K -monotonicity
  • K -order continuity
  • the best approximant
Abstract

EN We investigate a correspondence between strict K-monotonicity, K-order continuity and the best dominated approximation problems with respect to the Hardy–Littlewood–Pólya relation ≺. Namely, we study, in terms of an LKM point and a UKM point, a necessary condition for uniqueness of the best dominated approximation under the relation ≺ in a symmetric space E. Next, we characterize a relation between a point of K-order continuity and an existence of a best dominated approximant with respect to ≺. Finally, we present a compete criteria, written in a notion of K-order continuity, under which a closed and K-bounded above subset of a symmetric space E is proximinal.

Pages (from - to)

78 - 91

DOI

10.1016/j.jat.2016.10.001

URL

https://www.sciencedirect.com/science/article/pii/S0021904516300867?via%3Dihub

Ministry points / journal

30

Ministry points / journal in years 2017-2021

30

Impact Factor

0,939

This website uses cookies to remember the authenticated session of the user. For more information, read about Cookies and Privacy Policy.