128115 20241125101124.0 doi 10.1007/s10444-023-10057-9 sideral 135337 ART-2023-135337 eng Carnicer, J.M. (orcid)0000-0003-4359-1499 On the stability of the representation of finite rank operators 2023 Access copy available to the general public Unrestricted The stability of the representation of finite rank operators in terms of a basis is analyzed. A conditioning is introduced as a measure of the stability properties. This conditioning improves some other conditionings because it is closer to the Lebesgue function. Improved bounds for the conditioning of the Fourier sums with respect to an orthogonal basis are obtained, in particular, for Legendre, Chebyshev, and disk polynomials. The Lagrange and Newton formulae for the interpolating polynomial are also considered. info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.7 2023 MATHEMATICS, APPLIED 83 / 332 = 0.25 2023 Q1 T1 0.995 2023 Computational Mathematics 2023 Q1 Applied Mathematics 2023 Q1 3.0 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mainar, E. Universidad de Zaragoza (orcid)0000-0002-1101-6230 Peña, J.M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 49, 4 (2023), 52 [33 pp.] Adv. comput. math. ADVANCES IN COMPUTATIONAL MATHEMATICS 1019-7168 389505 http://zaguan.unizar.es/record/128115/files/texto_completo.pdf Versión publicada 1010039 http://zaguan.unizar.es/record/128115/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:128115 articulos driver 2024-11-22-11:57:20 ARTICLE