000130730 001__ 130730 000130730 005__ 20240131210810.0 000130730 0248_ $$2sideral$$a91079 000130730 037__ $$aART-2016-91079 000130730 041__ $$aeng 000130730 100__ $$0(orcid)0000-0003-2453-7841$$aAbadias, L.$$uUniversidad de Zaragoza 000130730 245__ $$aQuadrature Rules for L1-Weighted Norms of Orthogonal Polynomials 000130730 260__ $$c2016 000130730 5060_ $$aAccess copy available to the general public$$fUnrestricted 000130730 5203_ $$aIn this paper, we obtain L 1-weighted norms of classical orthogonal polynomials (Hermite, Laguerre and Jacobi polynomials) in terms of the zeros of these orthogonal polynomials; these expressions are usually known as quadrature rules. In particular, these new formulae are useful to calculate directly some positive defined integrals as several examples show. 000130730 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000130730 590__ $$a0.868$$b2016 000130730 591__ $$aMATHEMATICS$$b83 / 310 = 0.268$$c2016$$dQ2$$eT1 000130730 591__ $$aMATHEMATICS, APPLIED$$b138 / 255 = 0.541$$c2016$$dQ3$$eT2 000130730 592__ $$a0.655$$b2016 000130730 593__ $$aMathematics (miscellaneous)$$c2016$$dQ2 000130730 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000130730 700__ $$0(orcid)0000-0001-9430-343X$$aMiana, P. J.$$uUniversidad de Zaragoza 000130730 700__ $$aRomero, N. 000130730 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000130730 773__ $$g13, 3 (2016), 1291-1306$$pMediterranean Journal of Mathematics$$tMediterranean Journal of Mathematics$$x1660-5446 000130730 8564_ $$s330791$$uhttps://zaguan.unizar.es/record/130730/files/texto_completo.pdf$$yPostprint 000130730 8564_ $$s1073458$$uhttps://zaguan.unizar.es/record/130730/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000130730 909CO $$ooai:zaguan.unizar.es:130730$$particulos$$pdriver 000130730 951__ $$a2024-01-31-19:16:35 000130730 980__ $$aARTICLE