{"id":"https://openalex.org/W2148504367","doi":"https://doi.org/10.1007/bf02238538","title":"On some interval methods for algebraic, exponential and trigonometric polynomials","display_name":"On some interval methods for algebraic, exponential and trigonometric polynomials","publication_year":1993,"publication_date":"1993-09-01","ids":{"openalex":"https://openalex.org/W2148504367","doi":"https://doi.org/10.1007/bf02238538","mag":"2148504367"},"language":"en","primary_location":{"id":"doi:10.1007/bf02238538","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02238538","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Computing","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/A5036808184","display_name":"Carsten Carstensen","orcid":null},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"C. Carstensen","raw_affiliation_strings":["Faculty of Electronic Engineering, University of Ni\u0161, 18000, Ni\u0161","Faculty of Electronic Engineering, University of Ni\u0161, Ni\u0161"],"affiliations":[{"raw_affiliation_string":"Faculty of Electronic Engineering, University of Ni\u0161, 18000, Ni\u0161","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"Faculty of Electronic Engineering, University of Ni\u0161, Ni\u0161","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101857910","display_name":"Miodrag S. Petkovi\u0107","orcid":"https://orcid.org/0000-0002-6799-7912"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. S. Petkovi\u0107","raw_affiliation_strings":["Institut f\u00fcr Angewandte Mathematik, Universit\u00e4t Hannover, D-30167, Hannover, Federal Republic of Germany","Institut f\u00fcr Angewandte Mathematik, Universit\u00e4t Hannover, Hannover, Federal Republic of Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Angewandte Mathematik, Universit\u00e4t Hannover, D-30167, Hannover, Federal Republic of Germany","institution_ids":["https://openalex.org/I114112103"]},{"raw_affiliation_string":"Institut f\u00fcr Angewandte Mathematik, Universit\u00e4t Hannover, Hannover, Federal Republic of Germany","institution_ids":["https://openalex.org/I114112103"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036808184"],"corresponding_institution_ids":["https://openalex.org/I152518017"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.25509973,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"51","issue":"3-4","first_page":"313","last_page":"326"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9988999962806702,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8280396461486816},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.7055459022521973},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.6860533952713013},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6118221282958984},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5812803506851196},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5658355951309204},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5241432785987854},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.489243745803833},{"id":"https://openalex.org/keywords/trigonometric-polynomial","display_name":"Trigonometric polynomial","score":0.4811862111091614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47045838832855225},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3878347873687744},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3332679867744446},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3267925977706909},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11692255735397339},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08543127775192261}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8280396461486816},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.7055459022521973},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.6860533952713013},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6118221282958984},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5812803506851196},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5658355951309204},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5241432785987854},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.489243745803833},{"id":"https://openalex.org/C156760230","wikidata":"https://www.wikidata.org/wiki/Q1969650","display_name":"Trigonometric polynomial","level":3,"score":0.4811862111091614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47045838832855225},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3878347873687744},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3332679867744446},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3267925977706909},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11692255735397339},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08543127775192261},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02238538","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02238538","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W118619933","https://openalex.org/W1967567870","https://openalex.org/W1971802018","https://openalex.org/W1980848524","https://openalex.org/W1989666660","https://openalex.org/W2020464076","https://openalex.org/W2057063935","https://openalex.org/W2060924166","https://openalex.org/W2071493572","https://openalex.org/W2075068708","https://openalex.org/W2079439338","https://openalex.org/W2081493641","https://openalex.org/W2090963365","https://openalex.org/W2092212991","https://openalex.org/W2135474399","https://openalex.org/W4230022591","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W4387031439","https://openalex.org/W630157503","https://openalex.org/W2913252231","https://openalex.org/W2023470618","https://openalex.org/W1498933441","https://openalex.org/W2153015377","https://openalex.org/W644441814","https://openalex.org/W3022244109","https://openalex.org/W2060643018","https://openalex.org/W1605790616"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}