Constructive approximation of continuous interval- valued functions
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Title
Constructive approximation of continuous interval- valued functionsDate
2021-11-28Publisher
Taylor & FrancisISSN
0163-0563; 1532-2467Bibliographic citation
Juan J. Font & Sergio Macario (2021) Constructive Approximation of Continuous Interval-Valued Functions, Numerical Functional Analysis and OptimizationType
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/acceptedVersionSubject
Abstract
In this paper we present a Stone-Weierstrass type result in the context of continuous interval-valued functions defined on a compact Hausdorff space. We also provide a Jackson type approximation result involving the ... [+]
In this paper we present a Stone-Weierstrass type result in the context of continuous interval-valued functions defined on a compact Hausdorff space. We also provide a Jackson type approximation result involving the modulus of continuity of interval-valued functions based on the gH-difference of intervals. Finally we show how an interval-valued continuous function can be approximated using interval neural networks. All the proofs are constructive. [-]
Is part of
Numerical Functional Analysis and Optimization (2021)Funder Name
Agencia Estatal de Investigación (AEI - State Research Agency), Spain | Universitat Jaume I
Project code
PID2019-106529GB-I00/AEI/10.13039/ 501100011033 | UJI-B2019-08
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info:eu-repo/semantics/openAccess
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- MAT_Articles [765]