{"id":"https://openalex.org/W1992008152","doi":"https://doi.org/10.1007/s12190-013-0643-7","title":"The new approximation operators with sigmoidal functions","display_name":"The new approximation operators with sigmoidal functions","publication_year":2013,"publication_date":"2013-01-29","ids":{"openalex":"https://openalex.org/W1992008152","doi":"https://doi.org/10.1007/s12190-013-0643-7","mag":"1992008152"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-013-0643-7","doi":"https://doi.org/10.1007/s12190-013-0643-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-013-0643-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065889231","display_name":"Zhengqiu Zhang","orcid":"https://orcid.org/0000-0002-7399-8161","observed_orcids":["https://orcid.org/0000-0002-7399-8161"]},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhengqiu Zhang","raw_affiliation_strings":["College of Mathematics, Hunan University, Changsha, 410082, P.R. China","Hunan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Hunan University, Changsha, 410082, P.R. China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"Hunan University","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100665933","display_name":"Kaiyu Liu","orcid":"https://orcid.org/0000-0003-3718-175X","observed_orcids":["https://orcid.org/0000-0003-3718-175X"]},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaiyu Liu","raw_affiliation_strings":["College of Mathematics, Hunan University, Changsha, 410082, P.R. China","Hunan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Hunan University, Changsha, 410082, P.R. China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"Hunan University","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100837252","display_name":"Li Zhu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Zhu","raw_affiliation_strings":["College of Mathematics, Hunan University, Changsha, 410082, P.R. China","Hunan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Hunan University, Changsha, 410082, P.R. China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"Hunan University","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101573237","display_name":"Yanju Chen","orcid":"https://orcid.org/0000-0002-6494-3126","observed_orcids":["https://orcid.org/0000-0002-6494-3126"]},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanju Chen","raw_affiliation_strings":["College of Mathematics, Hunan University, Changsha, 410082, P.R. China","Hunan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Hunan University, Changsha, 410082, P.R. China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"Hunan University","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065889231"],"corresponding_institution_ids":["https://openalex.org/I16609230"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":1.3035,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.74421917,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"42","issue":"1-2","first_page":"455","last_page":"468"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.8945000171661377,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.8945000171661377,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.09309999644756317,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/approximation-operators","display_name":"approximation operators","score":0.9750000238418579},{"id":"https://openalex.org/keywords/sigmoidal-function","display_name":"sigmoidal function","score":0.9369999766349792},{"id":"https://openalex.org/keywords/neural-network-weights","display_name":"neural network weights","score":0.9539999961853027},{"id":"https://openalex.org/keywords/quasi-interpolation-operators","display_name":"quasi-interpolation operators","score":0.9700000286102295},{"id":"https://openalex.org/keywords/error-estimates","display_name":"error estimates","score":0.6790000200271606},{"id":"https://openalex.org/keywords/approximation-of-continuous-functions","display_name":"approximation of continuous functions","score":0.8709999918937683}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8324841856956482},{"id":"https://openalex.org/C81388566","wikidata":"https://www.wikidata.org/wiki/Q526668","display_name":"Sigmoid function","level":3,"score":0.7413566708564758},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7071916460990906},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7017855048179626},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.627895712852478},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6136481165885925},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.5088222622871399},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5062565207481384},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.4644363820552826},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4466889500617981},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.44624608755111694},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.4122738838195801},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3128735423088074},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3016631007194519},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2600918710231781},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17215093970298767},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10067963600158691},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07611769437789917},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-013-0643-7","doi":"https://doi.org/10.1007/s12190-013-0643-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-013-0643-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1548400210","https://openalex.org/W1965720095","https://openalex.org/W2019411215","https://openalex.org/W2023750212","https://openalex.org/W2038266964","https://openalex.org/W2089455490","https://openalex.org/W2097698789","https://openalex.org/W2159380812","https://openalex.org/W2282226486","https://openalex.org/W2326252361","https://openalex.org/W2366409003","https://openalex.org/W2371262378"],"related_works":["https://openalex.org/W2038266964","https://openalex.org/W1986164709","https://openalex.org/W2155719496","https://openalex.org/W7170034075","https://openalex.org/W2983004898","https://openalex.org/W2108930884","https://openalex.org/W7219538926","https://openalex.org/W2159380812","https://openalex.org/W2069463231","https://openalex.org/W2069351420"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}
