000128115 001__ 128115 000128115 005__ 20241125101124.0 000128115 0247_ $$2doi$$a10.1007/s10444-023-10057-9 000128115 0248_ $$2sideral$$a135337 000128115 037__ $$aART-2023-135337 000128115 041__ $$aeng 000128115 100__ $$0(orcid)0000-0003-4359-1499$$aCarnicer, J.M. 000128115 245__ $$aOn the stability of the representation of finite rank operators 000128115 260__ $$c2023 000128115 5060_ $$aAccess copy available to the general public$$fUnrestricted 000128115 5203_ $$aThe stability of the representation of finite rank operators in terms of a basis is analyzed. A conditioning is introduced as a measure of the stability properties. This conditioning improves some other conditionings because it is closer to the Lebesgue function. Improved bounds for the conditioning of the Fourier sums with respect to an orthogonal basis are obtained, in particular, for Legendre, Chebyshev, and disk polynomials. The Lagrange and Newton formulae for the interpolating polynomial are also considered. 000128115 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00$$9info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T 000128115 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000128115 590__ $$a1.7$$b2023 000128115 592__ $$a0.995$$b2023 000128115 591__ $$aMATHEMATICS, APPLIED$$b83 / 332 = 0.25$$c2023$$dQ1$$eT1 000128115 593__ $$aComputational Mathematics$$c2023$$dQ1 000128115 593__ $$aApplied Mathematics$$c2023$$dQ1 000128115 594__ $$a3.0$$b2023 000128115 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000128115 700__ $$0(orcid)0000-0002-1101-6230$$aMainar, E.$$uUniversidad de Zaragoza 000128115 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J.M.$$uUniversidad de Zaragoza 000128115 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000128115 773__ $$g49, 4 (2023), 52 [33 pp.]$$pAdv. comput. math.$$tADVANCES IN COMPUTATIONAL MATHEMATICS$$x1019-7168 000128115 8564_ $$s389505$$uhttps://zaguan.unizar.es/record/128115/files/texto_completo.pdf$$yVersión publicada 000128115 8564_ $$s1010039$$uhttps://zaguan.unizar.es/record/128115/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000128115 909CO $$ooai:zaguan.unizar.es:128115$$particulos$$pdriver 000128115 951__ $$a2024-11-22-11:57:20 000128115 980__ $$aARTICLE