{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T23:26:16Z","timestamp":1775863576685,"version":"3.50.1"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1996,12,1]],"date-time":"1996-12-01T00:00:00Z","timestamp":849398400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[1996,12]]},"DOI":"10.1007\/bf02124748","type":"journal-article","created":{"date-parts":[[2005,9,15]],"date-time":"2005-09-15T03:12:16Z","timestamp":1126753936000},"page":"281-295","source":"Crossref","is-referenced-by-count":10,"title":["Orthogonality properties of linear combinations of orthogonal polynomials"],"prefix":"10.1007","volume":"5","author":[{"given":"Francisco","family":"Marcell\u00e1n","sequence":"first","affiliation":[]},{"given":"Franz","family":"Peherstorfer","sequence":"additional","affiliation":[]},{"given":"Robert","family":"Steinbauer","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"4","key":"BF02124748_CR1","doi-asserted-by":"crossref","first-page":"643","DOI":"10.1155\/S0161171296000919","volume":"19","author":"A. Branquinho","year":"1996","unstructured":"A. Branquinho and F. Marcell\u00e1n,Generating new classes of orthogonal polynomials, Int. J. Math. and Math. Sciences, 19(4) (1996) 643\u2013656.","journal-title":"Int. J. Math. and Math. Sciences"},{"key":"BF02124748_CR2","first-page":"41","volume":"29","author":"T. Erdelyi","year":"1991","unstructured":"T. Erdelyi, J.S. Geronimo, P. Nevai and J. Zhang,A simple proof of \u201cFavard's Theorem\u201d on the unit circle, Atti. Sem. Mat. Fis. Univ. Modena 29 (1991) 41\u201346.","journal-title":"Atti. Sem. Mat. Fis. Univ. Modena"},{"key":"BF02124748_CR3","volume-title":"Orthogonal Polynomials","author":"G. Freud","year":"1971","unstructured":"G. Freud,Orthogonal Polynomials, Akademiai Kiad\u00f3 and Pergamon Press, New York, 1971."},{"issue":"1","key":"BF02124748_CR4","first-page":"1","volume":"3","author":"Ya.L. Geronimus","year":"1962","unstructured":"Ya.L. Geronimus,Polynomials orthogonal on a circle and their applications, Amer. Math. Soc. Transl. (1) vol. 3, Providence R.I., 1962, 1\u201378.","journal-title":"Amer. Math. Soc. Transl."},{"issue":"5","key":"BF02124748_CR5","doi-asserted-by":"crossref","first-page":"930","DOI":"10.4153\/CJM-1993-052-1","volume":"45","author":"E. Godoy","year":"1993","unstructured":"E. Godoy and F. Marcell\u00e1n,Orthogonal polynomials and rational modifications of measures, Canad. J. Math. 45(5) (1993) 930\u2013943.","journal-title":"Canad. J. Math."},{"key":"BF02124748_CR6","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/0021-9045(92)90130-G","volume":"71","author":"M.E.H. Ismail","year":"1992","unstructured":"M.E.H. Ismail and R.W. Ruedemann,Relation between polynomials on the unit circle with respect to different weights, J. Approx. Theory 71 (1992) 39\u201360.","journal-title":"J. Approx. Theory"},{"key":"BF02124748_CR7","doi-asserted-by":"crossref","unstructured":"E.M. Nikishin and V.N. Sorokin,Rational Approximations and Orthogonality, Transl. of Math. Monog. vol. 92. Amer. Math. Soc., 1991.","DOI":"10.1090\/mmono\/092"},{"issue":"191","key":"BF02124748_CR8","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1090\/S0025-5718-1990-1023052-9","volume":"55","author":"F. Peherstorfer","year":"1990","unstructured":"F. Peherstorfer,Linear combinations of orthogonal polynomials generating positive quadrature formulas, Math. of Comp. 55(191) (1990) 231\u2013241.","journal-title":"Math. of Comp."},{"key":"BF02124748_CR9","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1017\/S0305004100073357","volume":"117","author":"F. Peherstorfer","year":"1995","unstructured":"F. Peherstorfer,Zeros of linear combinations of orthogonal polynomials, Proc. Cambridge Math. Soc. 117 (1995) 533\u2013544.","journal-title":"Proc. Cambridge Math. Soc."},{"key":"BF02124748_CR10","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/BF02433038","volume":"12","author":"F. Peherstorfer","year":"1996","unstructured":"F. Peherstorfer,A special class of polynomials orthogonal on the unit circle including the associated polynomials, J. Constr. Approx., 12 (1996) 161\u2013186.","journal-title":"J. Constr. Approx."},{"key":"BF02124748_CR11","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/0377-0427(95)00125-5","volume":"65","author":"F. Peherstorfer","year":"1996","unstructured":"F. Peherstorfer and R. Steinbauer,Characterization of general orthogonal polynomials with respect to a functional, J. Comput. Appl. Math., 65 (1996) 339\u2013355.","journal-title":"J. Comput. Appl. Math."},{"key":"BF02124748_CR12","unstructured":"F. Peherstorfer and R. Steinbauer,Perturbation of orthogonal polynomials on the unit circle \u2014 a survey, Proc. Workshop on orthogonal polynomials on the unit circle. eds. M. Alfaro et al., Universidad Carlos III de Madrid (1994) 97\u2013119."},{"key":"BF02124748_CR13","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1090\/S0002-9947-1937-1501930-6","volume":"42","author":"J. Shohat","year":"1937","unstructured":"J. Shohat,On mechanical quadratures, in particular, with positive coefficients, Trans. Amer. Math. Soc. 42 (1937) 461\u2013496.","journal-title":"Trans. Amer. Math. Soc."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02124748.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02124748\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02124748","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T01:31:09Z","timestamp":1557797469000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02124748"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,12]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1996,12]]}},"alternative-id":["BF02124748"],"URL":"https:\/\/doi.org\/10.1007\/bf02124748","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,12]]}}}