{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T11:19:45Z","timestamp":1758280785028},"reference-count":47,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[2003,6,1]],"date-time":"2003-06-01T00:00:00Z","timestamp":1054425600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,8,22]],"date-time":"2013-08-22T00:00:00Z","timestamp":1377129600000},"content-version":"vor","delay-in-days":3735,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Complexity"],"published-print":{"date-parts":[[2003,6]]},"DOI":"10.1016\/s0885-064x(03)00027-x","type":"journal-article","created":{"date-parts":[[2003,7,16]],"date-time":"2003-07-16T15:02:03Z","timestamp":1058367723000},"page":"406-415","source":"Crossref","is-referenced-by-count":6,"title":["Marcinkiewicz\u2013Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: methods, results and open problems, some new, some old"],"prefix":"10.1016","volume":"19","author":[{"given":"S.B.","family":"Damelin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0885-064X(03)00027-X_BIB1","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/BF01889904","article-title":"Mean convergence of orthogonal series and Lagrange interpolation","volume":"23","author":"Askey","year":"1972","journal-title":"Acta Math. Sci. Hungar."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB2","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1006\/jath.1998.3184","article-title":"The Lebesgue constant of Lagrange interpolation for Erd\u0151s weights","volume":"94-2","author":"Damelin","year":"1998","journal-title":"J. Approx. Theory"},{"issue":"3","key":"10.1016\/S0885-064X(03)00027-X_BIB3","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1023\/A:1006546516970","article-title":"The weighted Lebesgue constant of Lagrange interpolation for exponential weights on [\u22121,1]","volume":"81","author":"Damelin","year":"1998","journal-title":"Acta Math. Hungar."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB4","unstructured":"S.B. Damelin, The Hilbert transform and orthonormal expansions for exponential weights, in: Chui, C., Schumaker, L., St\u00f6kler, J. (Eds.), Approximation Theory X: Abstract and Classical Analysis, Vanderbilt University Press, 2002, pp. 117\u2013135, Erratum in Necessary and sufficient conditions for uniform convergence of orthonormal expansions on the line and uniform bounds on weighted Hilbert transforms, submitted for publication."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB5","unstructured":"S.B. Damelin, Necessary and sufficient conditions for uniform convergence of orthonormal expansions and uniform bounds for weighted Hilbert transforms on the line, submitted for publication."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB6","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/s002110050440","article-title":"Interpolatory product quadratures for Cauchy principal value integrals with Freud weights","volume":"83","author":"Damelin","year":"1999","journal-title":"Numer. Math."},{"issue":"1,2","key":"10.1016\/S0885-064X(03)00027-X_BIB7","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1081\/NFA-100103786","article-title":"Boundedness and uniform approximation of the weighted Hilbert transform on the real line","volume":"22","author":"Damelin","year":"2001","journal-title":"Numer. Funct. Anal. Optim."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB8","unstructured":"S.B. Damelin, K. Diethelm, Numerical solutions of Fredholm integral equations on the line, manuscript."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB9","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1006\/jath.2001.3619","article-title":"Hermite Fej\u00e9r interpolation of higher order for Freud type weights","volume":"113","author":"Damelin","year":"2001","journal-title":"J. Approx. Theory"},{"issue":"2","key":"10.1016\/S0885-064X(03)00027-X_BIB10","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1016\/S0377-0427(00)00439-8","article-title":"Necessary conditions for mean convergence of Lagrange interpolation for exponential weights","volume":"132","author":"Damelin","year":"2001","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB11","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/S0377-0427(00)00698-1","article-title":"On mean convergence of Hermite\u2013Fej\u00e9r and Hermite interpolation for Erd\u0151s weights on the real line","volume":"137","author":"Damelin","year":"2001","journal-title":"J. Comput. Appl. Math."},{"issue":"1\u20132","key":"10.1016\/S0885-064X(03)00027-X_BIB12","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/S0377-0427(00)00650-6","article-title":"A note on mean convergence of Lagrange interpolation in Lp","volume":"133","author":"Damelin","year":"2001","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB13","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1524\/anly.2002.22.1.33","article-title":"Converse quadrature sum estimates for weights on the real line","volume":"22","author":"Damelin","year":"2002","journal-title":"Analysis"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB14","doi-asserted-by":"crossref","first-page":"710","DOI":"10.4153\/CJM-1996-037-1","article-title":"Necessary and sufficient conditions for mean convergence of Lagrange interpolation for Erd\u0151s weights","volume":"48","author":"Damelin","year":"1996","journal-title":"Canad. J. Math. (4)"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB15","doi-asserted-by":"crossref","first-page":"737","DOI":"10.4153\/CJM-1996-038-9","article-title":"Necessary and sufficient conditions for mean convergence of Lagrange interpolation for Erd\u0151s weights II","volume":"40","author":"Damelin","year":"1996","journal-title":"Canad. Math. J."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB16","unstructured":"S.B. Damelin, E.A. Rakhmanov, Bounds for polynomials with unit discrete norms and their applications, manuscript."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB17","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1006\/jath.1999.3340","article-title":"Notes on inequalities with doubling weights","volume":"100","author":"Erd\u00e9lyi","year":"1999","journal-title":"J. Approx. Theory"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB18","series-title":"Orthonormal Polynomials","author":"Freud","year":"1971"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB19","unstructured":"H. K\u0151nig, Vector valued Lagrange interpolation and mean convergence of Hermite series, Proc. Essen Conference on Functional Analysis, Marcel Dekker, New York, 1994, pp. 224\u2013227."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB20","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1016\/S0377-0427(00)00665-8","article-title":"Bounds for weighted Lebesgue functions for exponential weights, Proceedings of the fifth international symposium on orthogonal polynomials, special functions and their applications (Patras, 1999)","volume":"133","author":"Kubayi","year":"2001","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB21","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1023\/A:1020854727886","article-title":"Bounds for weighted Lebesgue functions for exponential weights II","volume":"97","author":"Kubayi","year":"2002","journal-title":"Acta. Math. Hungar"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB22","doi-asserted-by":"crossref","unstructured":"D. Kubayi, D.S Lubinsky, Quadrature sums and Lagrange interpolation for general exponential weights, J. Comput. Appl. Math., to appear.","DOI":"10.1016\/S0377-0427(02)00747-1"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB23","series-title":"Orthonormal Polynomials for Exponential Weights","author":"Levin","year":"2001"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB24","series-title":"Recent Progress in Inequalities","first-page":"213","article-title":"Marcinkiewicz\u2013Zygmund inequalities: methods and results","author":"Lubinsky","year":"1997"},{"issue":"6","key":"10.1016\/S0885-064X(03)00027-X_BIB25","doi-asserted-by":"crossref","first-page":"1273","DOI":"10.4153\/CJM-1998-062-5","article-title":"Mean convergence of Lagrange interpolation for exponential weights on [\u22121,1]","volume":"50","author":"Lubinsky","year":"1998","journal-title":"Canad. J. Math."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB26","series-title":"H\u00e4mmerlin Memorial Volume","first-page":"201","article-title":"Convergence of product integration rules for weights on the real line II","author":"Lubinsky","year":"1999"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB27","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1007\/s003659900123","article-title":"On Converse Marcinkiewicz\u2013Zygmund inequalities in Lp, p>1","volume":"15","author":"Lubinsky","year":"1999","journal-title":"Constr. Approx"},{"issue":"2","key":"10.1016\/S0885-064X(03)00027-X_BIB28","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1006\/jath.2002.3698","article-title":"On mean convergence of weighted Lagrange interpolation for general arrays","volume":"118","author":"Lubinsky","year":"2002","journal-title":"J. Approx. Theory"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB29","unstructured":"D.S. Lubinsky, A taste of Erd\u00f6s on interpolation, Proceedings of Erd\u00f6s Conference, Janos Bolyai Society, to appear."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB30","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1023\/A:1015626030901","article-title":"Converse quadrature sum inequalities for Freud weights II","volume":"96","author":"Lubinsky","year":"2002","journal-title":"Acta. Math. Hungar."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB31","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1137\/S0036141092237054","article-title":"Necessary and sufficient conditions for mean convergence of Lagrange interpolation for Freud weights","volume":"26","author":"Lubinsky","year":"1995","journal-title":"SIAM J. Math. Anal."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB32","unstructured":"G. Mastroianni, Boundedness of Lagrange operator in some functional spaces, Approximation Theory and Function Series, 1995, Bolyai Society Mathematical Studies, Vol. 5, Budapest (Hungary), 1996, pp. 231\u2013345."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB33","unstructured":"G. Mastroianni, M.G. Russo, Weighted Marcinkiewicz inequalities and boundedness of the Lagrange operator, in: T. Rassias, et al. (Eds.), Recent Trends in Mathematical Analysis and Applications, 149\u2013182. Hadonic Press, Palm Harbor, Florida 2000."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB34","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/s003659910002","article-title":"Weighted polynomial inequalities with doubling and Ap weights","volume":"16","author":"Mastroianni","year":"2000","journal-title":"Constr. Approx."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB35","unstructured":"H.N. Mhaskar, Introduction to the Theory of Weighted Polynomial Approximation, Series in Approximations and Decompositions, Vol. 7, World Scientific, Singapore."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB36","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1090\/S0025-5718-00-01240-0","article-title":"Spherical Marcinkiewicz\u2013Zygmund inequalities and positive quadrature","volume":"70","author":"Mhaskar","year":"2001","journal-title":"Math. Comp."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB37","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1016\/0021-9045(76)90008-3","article-title":"Mean convergence of Lagrange interpolation I","volume":"18","author":"Nevai","year":"1976","journal-title":"J. Approx. Theory"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB38","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/0021-9045(80)90030-1","article-title":"Mean convergence of Lagrange interpolation II","volume":"30","author":"Nevai","year":"1980","journal-title":"J. Approx. Theory"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB39","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1090\/S0002-9947-1984-0732113-4","article-title":"Mean convergence of Lagrange interpolation III","volume":"282","author":"Nevai","year":"1984","journal-title":"Trans. Amer. Math. Soc."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB40","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0021-9045(86)90016-X","article-title":"Geza Freud, orthogonal polynomials and Christoffel functions","volume":"48","author":"Nevai","year":"1986","journal-title":"J. Approx. Theory"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB41","first-page":"99","article-title":"Weighted Lagrange interpolation and Hermite\u2013Fej\u00e9r interpolation on the real line","volume":"1","author":"Szabados","year":"1997","journal-title":"J. Ineq. and Applins."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB42","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0377-0427(92)90256-W","article-title":"A survey on mean convergence of interpolatory processes","volume":"43","author":"Szabados","year":"1992","journal-title":"J. Comp. Appl. Math."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB43","unstructured":"B.D. Vecchia, G. Mastroianni, Gaussian rules on unbounded intervals, manuscript."},{"key":"10.1016\/S0885-064X(03)00027-X_BIB44","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1006\/jath.1993.1019","article-title":"Mean convergence of generalized Jacobi series and interpolating polynomials","volume":"72","author":"Xu","year":"1993","journal-title":"J. Approx. Theory"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB45","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1006\/jath.1994.1006","article-title":"Mean convergence of generalized Jacobi series and interpolating polynomials II","volume":"76","author":"Xu","year":"1994","journal-title":"J. Approx. Theory"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB46","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1006\/jath.1995.1108","article-title":"The Marcinkiewicz inequality on a smooth arc","volume":"83","author":"Zhong","year":"1995","journal-title":"J. Approx. Theory"},{"key":"10.1016\/S0885-064X(03)00027-X_BIB47","unstructured":"A. Zygmund, Trigonometric Series, Vols. 1 and 2, 2nd Edition, Cambridge University Press, Cambridge, 1959."}],"container-title":["Journal of Complexity"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0885064X0300027X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0885064X0300027X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,6,8]],"date-time":"2021-06-08T17:12:12Z","timestamp":1623172332000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0885064X0300027X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,6]]},"references-count":47,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2003,6]]}},"alternative-id":["S0885064X0300027X"],"URL":"https:\/\/doi.org\/10.1016\/s0885-064x(03)00027-x","relation":{},"ISSN":["0885-064X"],"issn-type":[{"value":"0885-064X","type":"print"}],"subject":[],"published":{"date-parts":[[2003,6]]}}}