{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T01:39:27Z","timestamp":1777340367840,"version":"3.51.4"},"reference-count":36,"publisher":"American Mathematical Society (AMS)","issue":"281","license":[{"start":{"date-parts":[[2013,5,8]],"date-time":"2013-05-08T00:00:00Z","timestamp":1367971200000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>In this paper, we investigate Jacobi quasi-orthogonal approximation and generalized Jacobi-Gauss-Lobatto interpolation. We also propose Laguerre quasi-orthogonal approximation and generalized Laguerre-Gauss-Radau interpolation. A series of sharp results on these approximations are established, which are applicable to spectral and pseudospectral methods for mixed nonhomogeneous boundary value problems of high order.<\/p>","DOI":"10.1090\/s0025-5718-2012-02614-7","type":"journal-article","created":{"date-parts":[[2012,5,8]],"date-time":"2012-05-08T13:06:41Z","timestamp":1336482401000},"page":"413-441","source":"Crossref","is-referenced-by-count":2,"title":["Jacobi and Laguerre quasi-orthogonal approximations and related interpolations"],"prefix":"10.1090","volume":"82","author":[{"given":"Guo","family":"Ben-yu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sun","family":"Tao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhang","family":"Chao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2012,5,8]]},"reference":[{"issue":"6","key":"1","doi-asserted-by":"publisher","first-page":"1926","DOI":"10.1137\/S0036142999359670","article-title":"Spectral element discretization of the circular driven cavity. 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