{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T16:48:10Z","timestamp":1773938890316,"version":"3.50.1"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1992,6,1]],"date-time":"1992-06-01T00:00:00Z","timestamp":707356800000},"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":[[1992,6]]},"DOI":"10.1007\/bf02145384","type":"journal-article","created":{"date-parts":[[2005,9,15]],"date-time":"2005-09-15T19:10:53Z","timestamp":1126811453000},"page":"171-185","source":"Crossref","is-referenced-by-count":17,"title":["Some numerical results on best uniform rational approximation ofx \u03b1 on [0,1]"],"prefix":"10.1007","volume":"2","author":[{"given":"Richard S.","family":"Varga","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amos J.","family":"Carpenter","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02145384_CR1","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1145\/355769.355775","volume":"4","author":"R.P. Brent","year":"1978","unstructured":"R.P. Brent, A FORTRAN multiple-precision arithmetic package, ACM Trans. Math. Soft. 4 (1978) 57\u201370.","journal-title":"ACM Trans. Math. Soft."},{"key":"BF02145384_CR2","volume-title":"Algorithms d'Acc\u00e9l\u00e9ration de la Convergence","author":"C. Brezinski","year":"1978","unstructured":"C. Brezinski,Algorithms d'Acc\u00e9l\u00e9ration de la Convergence (\u00c9ditions Technip, Paris, 1978)."},{"key":"BF02145384_CR3","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1070\/SM1968v005n02ABEH001006","volume":"5","author":"A.P. Bulanov","year":"1968","unstructured":"A.P. Bulanov, Asymptotics for least deviation of |x| from rational functions, Math. USSR Sbornik 5 (1968) 275\u2013290.","journal-title":"Math. USSR Sbornik"},{"key":"BF02145384_CR4","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/BF02079347","volume":"5","author":"T. Ganelius","year":"1979","unstructured":"T. Ganelius, Rational approximation tox \u03b1 on [0,1], Analysis Mathematica 5 (1979) 19\u201333.","journal-title":"Analysis Mathematica"},{"key":"BF02145384_CR5","series-title":"Collection S\u00e9minaire de Math\u00e9matiques Sup\u00e9rieures","first-page":"9","volume-title":"Lectures on Approximation and Value Distribution","author":"T. Ganelius","year":"1982","unstructured":"T. Ganelius, Degree of rational approximation, in:Lectures on Approximation and Value Distribution, pp. 9\u201378, Collection S\u00e9minaire de Math\u00e9matiques Sup\u00e9rieures, Volume 79 (Les Presses de l'Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, 1982)."},{"key":"BF02145384_CR6","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1070\/SM1967v001n03ABEH001993","volume":"1","author":"A.A. Gonchar","year":"1967","unstructured":"A.A. Gonchar, Estimates of the growth of rational functions and some of their applications, Math. USSR Sbornik 1 (1967) 445\u2013456.","journal-title":"Math. USSR Sbornik"},{"key":"BF02145384_CR7","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1137\/0703003","volume":"3","author":"H.L. Loeb","year":"1966","unstructured":"H.L. Loeb, Approximation by generalized rationals, SIAM J. on Numer. Anal. 3 (1966) 34\u201355.","journal-title":"SIAM J. on Numer. Anal."},{"key":"BF02145384_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-85643-3","volume-title":"Approximation of Functions: Theory and Numerical Methods","author":"G. Meinardus","year":"1967","unstructured":"G. Meinardus,Approximation of Functions: Theory and Numerical Methods (Springer-Verlag, New York, 1967)."},{"key":"BF02145384_CR9","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1307\/mmj\/1028999029","volume":"11","author":"D.J. Newman","year":"1964","unstructured":"D.J. Newman, Rational approximation to |x|, Michigan Math. J. 11 (1964) 11\u201314.","journal-title":"Michigan Math. J."},{"key":"BF02145384_CR10","first-page":"337","volume":"199","author":"E. Ya. Remez","year":"1934","unstructured":"E. Ya. Remez, Sur le calcul effectiv des polyn\u00f4mes d'approximation de Tchebichef, C.R. Acad. Sci. Paris 199 (1934) 337\u2013340.","journal-title":"C.R. Acad. Sci. Paris"},{"key":"BF02145384_CR11","volume-title":"An Introduction to the Approximation of Functions","author":"T.J. Rivlin","year":"1969","unstructured":"T.J. Rivlin,An Introduction to the Approximation of Functions (Blaisdell Publishing Co., Waltham, Mass., 1969)."},{"key":"BF02145384_CR12","unstructured":"H. Stahl, Best uniform rational approximation of |x| on [\u22121,1], Mat. Sbornik, to appear."},{"key":"BF02145384_CR13","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/0021-9045(76)90047-2","volume":"16","author":"J. Tzimbalario","year":"1976","unstructured":"J. Tzimbalario, Rational approximation tox \u03b1, J. Approx. Theory 16 (1976) 187\u2013193.","journal-title":"J. Approx. Theory"},{"issue":"No. 11","key":"BF02145384_CR14","first-page":"1523","volume":"182","author":"R.S. Varga","year":"1991","unstructured":"R.S. Varga, A. Ruttan and A.J. Carpenter, Numerical results on best uniform rational approximation of |x| on [\u22121, +1], Mat. Sbornik 182 (No. 11) (1991) 1523\u20131541.","journal-title":"Mat. Sbornik"},{"key":"BF02145384_CR15","first-page":"100","volume":"16","author":"N.S. Vjacheslavov","year":"1975","unstructured":"N.S. Vjacheslavov, On the uniform approximation of |x| by rational functions, Soviet Math. Dokl. 16 (1975) 100\u2013104.","journal-title":"Soviet Math. Dokl."},{"key":"BF02145384_CR16","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1070\/IM1981v016n01ABEH001297","volume":"16","author":"N.S. Vjacheslavov","year":"1981","unstructured":"N.S. Vjacheslavov, On the approximation ofx \u03b1 by rational functions, Math. USSR Izvestija 16 (1981) 83\u2013101.","journal-title":"Math. USSR Izvestija"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02145384.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02145384\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02145384","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T06:01:45Z","timestamp":1557813705000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02145384"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,6]]},"references-count":16,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1992,6]]}},"alternative-id":["BF02145384"],"URL":"https:\/\/doi.org\/10.1007\/bf02145384","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,6]]}}}