{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,13]],"date-time":"2023-09-13T17:20:57Z","timestamp":1694625657302},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,2,24]],"date-time":"2006-02-24T00:00:00Z","timestamp":1140739200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2006,2,24]],"date-time":"2006-02-24T00:00:00Z","timestamp":1140739200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2006,3]]},"DOI":"10.1007\/s00211-005-0670-x","type":"journal-article","created":{"date-parts":[[2006,2,24]],"date-time":"2006-02-24T15:13:49Z","timestamp":1140794029000},"page":"99-127","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The error norm of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szeg\u00f6 type"],"prefix":"10.1007","volume":"103","author":[{"given":"Sotirios E.","family":"Notaris","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2006,2,24]]},"reference":[{"key":"670_CR1","unstructured":"Akrivis, G.: Fehlerabsch\u00e4tzungen bei der numerischen Integration in einer und mehreren Dimensionen. Doctoral Dissertation, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, 1982"},{"key":"670_CR2","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1007\/BF02242279","volume":"33","author":"Akrivis","year":"1984","unstructured":"Akrivis, G., F\u00f6rster, K.J.: On the definiteness of quadrature formulae of Clenshaw-Curtis type. Computing 33, 363\u2013366 (1984)","journal-title":"Computing"},{"key":"670_CR3","unstructured":"Gautschi, W.: Gauss-Kronrod quadrature - a survey in (G.V. Milovanovi\u0107, ed.), Numerical Methods and Approximation Theory III, Faculty of Electronic Engineering, University of Nis, Nis, 39\u201366 (1988)"},{"key":"670_CR4","doi-asserted-by":"crossref","unstructured":"Gautschi, W.: Remainder estimates for analytic functions in (T.O. Espelid and A. Genz, eds.), Numerical Integration: Recent Developments, Software and Applications, Kluwer Academic Publishers, Dordrecht\/Boston\/London, 133\u2013145 (1992)","DOI":"10.1007\/978-94-011-2646-5_11"},{"key":"670_CR5","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1145\/174603.174605","volume":"20","author":"Gautschi","year":"1994","unstructured":"Gautschi, W.: Algorithm 726: ORTHPOL - a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. ACM Trans. Math. Software 20, 21\u201362 (1994); Remark on Algorithm 726: ORTHPOL - a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. ACM Trans. Math. Software 24, 355 (1998)","journal-title":"ACM Trans. Math. Software"},{"key":"670_CR6","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1016\/0377-0427(89)90047-2","volume":"25","author":"Gautschi","year":"1989","unstructured":"Gautschi, W., Notaris, S.E.: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szeg\u00f6 type. J. Comput. Appl. Math. 25, 199\u2013224 (1989); erratum in: J. Comput. Appl. Math. 27, 429 (1989)","journal-title":"J. Comput. Appl. Math."},{"key":"670_CR7","doi-asserted-by":"publisher","first-page":"1170","DOI":"10.1137\/0720087","volume":"20","author":"Gautschi","year":"1983","unstructured":"Gautschi, W., Varga, R.S.: Error bounds for Gaussian quadrature of analytic functions. SIAM J. Numer. Anal. 20, 1170\u20131186 (1983)","journal-title":"SIAM J. Numer. Anal."},{"key":"670_CR8","unstructured":"H\u00e4mmerlin, G.: Fehlerabsch\u00e4tzung bei numerischer Integration nach Gauss in (B. Brosowski and E. Martensen, eds.), Methoden und Verfahren der mathematischen Physik, Vol. 6, Bibliographisches Institut, Mannheim-Wien-Z\u00fcrich, 153\u2013163 (1972)"},{"key":"670_CR9","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1016\/0377-0427(90)90355-4","volume":"29","author":"Notaris","year":"1990","unstructured":"Notaris, S.E.: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szeg\u00f6 type, II. J. Comput. Appl. Math. 29, 161\u2013169 (1990)","journal-title":"J. Comput. Appl. Math."},{"key":"670_CR10","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1007\/BF01386411","volume":"57","author":"Notaris","year":"1990","unstructured":"Notaris, S.E.: The error norm of Gaussian quadrature formulae for weight functions of Bernstein-Szeg\u00f6 type. Numer. Math. 57, 271\u2013283 (1990)","journal-title":"Numer. Math."}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-005-0670-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00211-005-0670-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-005-0670-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-005-0670-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,14]],"date-time":"2022-05-14T05:07:30Z","timestamp":1652504850000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00211-005-0670-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,2,24]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,3]]}},"alternative-id":["670"],"URL":"https:\/\/doi.org\/10.1007\/s00211-005-0670-x","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,2,24]]},"assertion":[{"value":"1 August 2005","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 November 2005","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 February 2006","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}