{"id":"https://openalex.org/W1975971038","doi":"https://doi.org/10.1080/00207169608804526","title":"Generalized strong unicity constants in linear uniform approximation","display_name":"Generalized strong unicity constants in linear uniform approximation","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W1975971038","doi":"https://doi.org/10.1080/00207169608804526","mag":"1975971038"},"language":"en","primary_location":{"id":"doi:10.1080/00207169608804526","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804526","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","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/A5036883370","display_name":"Changzhong Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Changzhong Zhu","raw_affiliation_strings":["Department of Computer Science , The University of Western Ontario , London, Canada, N6A 5B7","Department of Computer Science, The University of Western Ontario, London, Canada N6A 5B7"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science , The University of Western Ontario , London, Canada, N6A 5B7","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"Department of Computer Science, The University of Western Ontario, London, Canada N6A 5B7","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112078810","display_name":"Charles B. Dunham","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Charles Dunham","raw_affiliation_strings":["Department of Computer Science , The University of Western Ontario , London, Canada, N6A 5B7","Department of Computer Science, The University of Western Ontario, London, Canada N6A 5B7"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science , The University of Western Ontario , London, Canada, N6A 5B7","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"Department of Computer Science, The University of Western Ontario, London, Canada N6A 5B7","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023837228","display_name":"Darrell Schmidt","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Darrell Schmidt","raw_affiliation_strings":["Department of Mathematical Science , Oakland University , Rochester, Michigan, 48098, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Science , Oakland University , Rochester, Michigan, 48098, U.S.A","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036883370"],"corresponding_institution_ids":["https://openalex.org/I125749732"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08533654,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"62","issue":"1-2","first_page":"73","last_page":"87"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.788699746131897},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6921601891517639},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6751573085784912},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.5761598348617554},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.541840672492981},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49378928542137146},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.47885629534721375},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3743385076522827},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13879740238189697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10432782769203186}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.788699746131897},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6921601891517639},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6751573085784912},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.5761598348617554},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.541840672492981},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49378928542137146},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.47885629534721375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3743385076522827},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13879740238189697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10432782769203186},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169608804526","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804526","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W171428496","https://openalex.org/W1569151178","https://openalex.org/W1975394763","https://openalex.org/W1977513565","https://openalex.org/W2013867362","https://openalex.org/W2021926887","https://openalex.org/W2049401952","https://openalex.org/W2072552497","https://openalex.org/W2144181355"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W1972707897","https://openalex.org/W2151801171"],"abstract_inverted_index":{"For":[0],"linear":[1],"best":[2,40],"uniform":[3],"approximation,":[4],"we":[5],"introduce":[6],"the":[7,39],"generalized":[8],"strong":[9],"unicity":[10],"constant,":[11],"study":[12],"its":[13],"characterizations":[14],"and":[15],"obtain":[16],"a":[17,32],"convenient":[18],"computation":[19],"of":[20],"it.":[21],"This":[22],"constant":[23],"has":[24],"already":[25],"been":[26],"used":[27],"to":[28,38],"tell":[29],"how":[30],"near":[31],"(linear":[33],"or":[34],"nonlinear)":[35],"parameter":[36,42,45],"is":[37],"(unknown)":[41],"in":[43],"aribitrary":[44],"norm.":[46]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}