{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,30]],"date-time":"2025-09-30T00:08:26Z","timestamp":1759190906499},"reference-count":21,"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":["Numer Algor"],"published-print":{"date-parts":[[1996,12]]},"DOI":"10.1007\/bf02142502","type":"journal-article","created":{"date-parts":[[2005,10,29]],"date-time":"2005-10-29T06:53:20Z","timestamp":1130568800000},"page":"271-283","source":"Crossref","is-referenced-by-count":11,"title":["A stable Nystr\u00f6m interpolant for some Mellin convolution equations"],"prefix":"10.1007","volume":"11","author":[{"given":"Giovanni","family":"Monegato","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02142502_CR1","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1093\/imanum\/4.1.19","volume":"4","author":"K.E. Atkinson","year":"1984","unstructured":"K.E. Atkinson and F.R. de Hoog, The numerical solution of Laplace's equation on a wedge, IMA J. Numer. Anal. 4 (1984) 19\u201341.","journal-title":"IMA J. Numer. Anal."},{"key":"BF02142502_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/00036819108840031","volume":"42","author":"C. Bernardi","year":"1991","unstructured":"C. Bernardi and Y. Maday, Polynomial approximation of some singular functions, Appl. Anal. 42 (1991) 1\u201332.","journal-title":"Appl. Anal."},{"key":"BF02142502_CR3","doi-asserted-by":"crossref","first-page":"1214","DOI":"10.1137\/0723082","volume":"23","author":"G.A. Chandler","year":"1986","unstructured":"G.A. Chandler, Superconvergent approximations to the solution of a boundary integral equation on polygonal domains, SIAM J. Numer. Anal. 23 (1986) 1214\u20131229.","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02142502_CR4","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1093\/imanum\/7.3.327","volume":"7","author":"G.A. Chandler","year":"1987","unstructured":"G.A. Chandler and I.G. Graham, Uniform convergence of Galerkin solutions to noncompact integral operator equations. IMA J. Numer. Anal. 7 (1987) 327\u2013334.","journal-title":"IMA J. Numer. Anal."},{"key":"BF02142502_CR5","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1090\/S0025-5718-1988-0917821-1","volume":"50","author":"G.A. Chandler","year":"1988","unstructured":"G.A. Chandler and I.G. Graham, Product integration-collocation methods for noncompact integral operator equations, Math. Comp. 50 (1988) 125\u2013138.","journal-title":"Math. Comp."},{"key":"BF02142502_CR6","doi-asserted-by":"crossref","first-page":"1118","DOI":"10.1137\/0725064","volume":"25","author":"G.A. Chandler","year":"1988","unstructured":"G.A. Chandler and I.G. Graham, Higher order methods for linear functionals of solution of second kind integral equations, SIAM J. Numer. Anal. 25 (1988) 1118\u20131137.","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02142502_CR7","doi-asserted-by":"crossref","first-page":"400","DOI":"10.1137\/0721030","volume":"21","author":"R.A. Vore De","year":"1984","unstructured":"R.A. De Vore and L.R. Scott, Error bounds for Gaussian quadrature and weighted-L 1 polynomial approximations, SIAM J. Numer. Anal. 21 (1984) 400\u2013412.","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02142502_CR8","series-title":"Teubner-Texte zur Mathematik","volume-title":"Integral Equations with Fixed Singularities","author":"R. Duduchava","year":"1979","unstructured":"R. Duduchava,Integral Equations with Fixed Singularities, Teubner-Texte zur Mathematik (Teubner, Leipzig, 1979)."},{"key":"BF02142502_CR9","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1007\/BF01940775","volume":"16","author":"D. Elliott","year":"1976","unstructured":"D. Elliott and D.F. Paget, Product-integration rules and their convergence, BIT 16 (1976) 32\u201340.","journal-title":"BIT"},{"key":"BF02142502_CR10","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1002\/mana.19901461703","volume":"146","author":"J. Elschner","year":"1990","unstructured":"J. Elschner, On spline approximation for a class of non-compact integral equations, Math. Nachr. 146 (1990) 271\u2013321.","journal-title":"Math. Nachr."},{"key":"BF02142502_CR11","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1093\/imanum\/14.1.81","volume":"14","author":"G. Mastroianni","year":"1993","unstructured":"G. Mastroianni and G. Monegato, Nystr\u00f6m interpolants based on the zeros of Legendre polynomials, IMA J. Numer. Anal. 14 (1993) 81\u201395.","journal-title":"IMA J. Numer. Anal."},{"key":"BF02142502_CR12","unstructured":"G. Mastroianni, Generalized Christoffel functions and error of positive quadrature formulae, to appear."},{"key":"BF02142502_CR13","doi-asserted-by":"crossref","unstructured":"G. Monegato and A. Palamara Orsi, Product formulas for Fredholm integral equations with rational kernel functions, in:Numerical Integration III, ISNM, 85, Eds. E. Brass and G. H\u00e4mmerlin (Birkh\u00e4user, Basel) pp. 140\u2013156.","DOI":"10.1007\/978-3-0348-6398-8_14"},{"key":"BF02142502_CR14","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1002\/mma.1670120604","volume":"12","author":"G. Monegato","year":"1990","unstructured":"G. Monegato and S. Pr\u00f6ssdorf, On the numerical treatment of an integral equation arising from a cruciform crack problem, Math. Meth. Appl. Sci. 12 (1990) 489\u2013502.","journal-title":"Math. Meth. Appl. Sci."},{"key":"BF02142502_CR15","volume-title":"Numerical Analysis for Integral and Related Operator Equations","author":"S. Pr\u00f6ssdorf","year":"1991","unstructured":"S. Pr\u00f6ssdorf and B. Silbermann,Numerical Analysis for Integral and Related Operator Equations (Birkh\u00e4user, Basel, 1991)."},{"key":"BF02142502_CR16","unstructured":"C. Schwab and M. Suri, The optimalp-version approximation of singularities on polyhedra in the boundary element method, to appear in SIAM J. Numer. Anal."},{"key":"BF02142502_CR17","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1007\/BF01397095","volume":"38","author":"I.H. Sloan","year":"1981","unstructured":"I.H. Sloan, Analysis of general quadrature methods for integral equations of the second kind, Numer. Math. 38 (1981) 263\u2013278.","journal-title":"Numer. Math."},{"key":"BF02142502_CR18","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1137\/0719027","volume":"19","author":"I.H. Sloan","year":"1982","unstructured":"I.H. Sloan and W.E. Smith, Properties of interpolatory product integration rules, SIAM J. Numer. Anal. 19 (1982) 427\u2013442.","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02142502_CR19","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1093\/qjmam\/23.1.35","volume":"23","author":"M.P. Stallybrass","year":"1970","unstructured":"M.P. Stallybrass, A pressurized crack in the form of a cross, Quart. J. Mech. Appl. Math. 23 (1970) 35\u201348.","journal-title":"Quart. J. Mech. Appl. Math."},{"key":"BF02142502_CR20","series-title":"Amer. Math. Soc. Colloq.","volume-title":"Orthogonal Polynomials","author":"G. Szeg\u00f6","year":"1975","unstructured":"G. Szeg\u00f6,Orthogonal Polynomials, Amer. Math. Soc. Colloq., Vol. 23 (American Mathematical Society, Providence, RI, 1975)."},{"key":"BF02142502_CR21","unstructured":"C. Schwab, private communication."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02142502.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02142502\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02142502","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T09:45:03Z","timestamp":1557827103000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02142502"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,12]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1996,12]]}},"alternative-id":["BF02142502"],"URL":"https:\/\/doi.org\/10.1007\/bf02142502","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,12]]}}}