CORE
🇺🇦
make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
Homogeneous polynomial approximation on convex and star like domains
Authors
András Kroó
Publication date
1 January 2023
Publisher
Doi
Cite
Abstract
In the present paper we consider the following central problem on the approximation by homogeneous polynomials: For which 0-symmetric star like domains K ⊂ ℝd and which f ∈ C(∂ K) there exist homogeneous polynomials hn, hn+1 of degree n and n + 1, respectively, so that uniformly on ∂ K (formula presented) This question is the analogue of the Weierstrass approximation problem when polynomials of total degree are replaced by the homogeneous polynomials. A survey of various recent results on the above question is given with some relevant open problems being included, as well. © 2023, Padova University Press. All rights reserved
Similar works
Full text
Open in the Core reader
Download PDF
Available Versions
Repository of the Academy's Library
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:real.mtak.hu:163261
Last time updated on 10/05/2023