On alternating functions in subspaces of

In this short paper we improve on the result from (Singer, Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces, 1970) (Lemma 6.1) and based on that we show that any dimensional subspace of admits –alternating function , i.e., a non-zero function , for which there exists points...

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Vydáno v:Sampling theory, signal processing, and data analysis Ročník 23; číslo 2
Hlavní autoři: Shekhtman, Boris, Skrzypek, Lesław
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.12.2025
Témata:
Abstract Harmonic Analysis
Approximation Theory and Beyond
Machine Learning
Mathematics
Mathematics and Statistics
Original Paper
Signal,Image and Speech Processing
Alternating elements
41A50
Chebyshev alternating theorem
Best approximations
41A65
41A10
ISSN:2730-5716, 2730-5724
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Popis
Shrnutí:In this short paper we improve on the result from (Singer, Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces, 1970) (Lemma 6.1) and based on that we show that any dimensional subspace of admits –alternating function , i.e., a non-zero function , for which there exists points such that
ISSN:2730-5716
2730-5724
DOI:10.1007/s43670-025-00110-7