{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,8]],"date-time":"2026-05-08T05:37:25Z","timestamp":1778218645421,"version":"3.51.4"},"reference-count":15,"publisher":"Elsevier BV","issue":"4","license":[{"start":{"date-parts":[[1996,8,1]],"date-time":"1996-08-01T00:00:00Z","timestamp":838857600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neurocomputing"],"published-print":{"date-parts":[[1996,8]]},"DOI":"10.1016\/0925-2312(95)00070-4","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T15:25:37Z","timestamp":1027610737000},"page":"327-343","source":"Crossref","is-referenced-by-count":84,"title":["Simultaneous approximations of multivariate functions and their derivatives by neural networks with one hidden layer"],"prefix":"10.1016","volume":"12","author":[{"given":"Xin","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0925-2312(95)00070-4_BIB1","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/S0893-6080(05)80020-6","article-title":"Approximation of a function and its derivatives with a neural networks","volume":"5","author":"Cardaliaguet","year":"1992","journal-title":"Neural Networks"},{"key":"10.1016\/0925-2312(95)00070-4_BIB2","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/0021-9045(92)90081-X","article-title":"Approximation by ridge functions and neural networks with one hidden layer","volume":"70","author":"Chui","year":"1992","journal-title":"J. Approx. Th."},{"key":"10.1016\/0925-2312(95)00070-4_BIB3","series-title":"Multivariate Approximation: from CAGD to Wavelets","first-page":"77","article-title":"Neural networks with one hidden layer","author":"Chui","year":"1993"},{"key":"10.1016\/0925-2312(95)00070-4_BIB4","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/BF02551274","article-title":"Approximation by superpositions of a sigmoidal function","volume":"2","author":"Cybenko","year":"1989","journal-title":"Math. Control Signals and Systems"},{"key":"10.1016\/0925-2312(95)00070-4_BIB5","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/0893-6080(89)90003-8","article-title":"On the approximate realization of continuous mappings by neural networks","volume":"2","author":"Funahashi","year":"1989","journal-title":"Neural Networks"},{"key":"10.1016\/0925-2312(95)00070-4_BIB6","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/S0893-6080(05)80011-5","article-title":"On learning the derivatives of an unknown mapping with multilayer feedforward networks","volume":"5","author":"Gallant","year":"1992","journal-title":"Neural Networks"},{"key":"10.1016\/0925-2312(95)00070-4_BIB7","series-title":"Approximation Theory IV","first-page":"739","article-title":"A bibliography on approximation of functions by Bernstein type operators (1995-1982)","author":"Gonska","year":"1983"},{"key":"10.1016\/0925-2312(95)00070-4_BIB8","series-title":"Approximation Theory V","first-page":"621","article-title":"A bibliography on approximation of functions by Bernstein type operators","author":"Gonska","year":"1986"},{"key":"10.1016\/0925-2312(95)00070-4_BIB9","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1016\/0893-6080(90)90005-6","article-title":"Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks","volume":"3","author":"Hornik","year":"1990","journal-title":"Neural Networks"},{"key":"10.1016\/0925-2312(95)00070-4_BIB10","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1016\/S0893-6080(05)80131-5","article-title":"Multilayer feedforward networks with a nonpolynomial activation function can approximate any function","volume":"6","author":"Leshno","year":"1993","journal-title":"Neural Networks"},{"key":"10.1016\/0925-2312(95)00070-4_BIB11","series-title":"Single Neuron Computation","year":"1992"},{"key":"10.1016\/0925-2312(95)00070-4_BIB12","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1016\/0196-8858(92)90016-P","article-title":"Approximation by superposition of a sigmoidal function","volume":"13","author":"Mhaskar","year":"1992","journal-title":"Advances in Applied Mathematics"},{"key":"10.1016\/0925-2312(95)00070-4_BIB13","author":"Powell","year":"1981"},{"key":"10.1016\/0925-2312(95)00070-4_BIB14","series-title":"Neural Networks in Vision and Pattern Recognition","year":"1992"},{"key":"10.1016\/0925-2312(95)00070-4_BIB15","series-title":"Mathematical Approaches to Neural Networks","year":"1993"}],"container-title":["Neurocomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0925231295000704?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0925231295000704?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,27]],"date-time":"2019-04-27T06:29:14Z","timestamp":1556346554000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0925231295000704"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,8]]},"references-count":15,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1996,8]]}},"alternative-id":["0925231295000704"],"URL":"https:\/\/doi.org\/10.1016\/0925-2312(95)00070-4","relation":{},"ISSN":["0925-2312"],"issn-type":[{"value":"0925-2312","type":"print"}],"subject":[],"published":{"date-parts":[[1996,8]]}}}