{"id":"https://openalex.org/W2498858925","doi":"https://doi.org/10.1007/s00211-016-0861-7","title":"Tight error bounds for rank-1 lattice sampling in spaces of hybrid mixed smoothness","display_name":"Tight error bounds for rank-1 lattice sampling in spaces of hybrid mixed smoothness","publication_year":2017,"publication_date":"2017-01-06","ids":{"openalex":"https://openalex.org/W2498858925","doi":"https://doi.org/10.1007/s00211-016-0861-7","mag":"2498858925"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-016-0861-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0861-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1510.08336","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064137334","display_name":"Glenn Byrenheid","orcid":"https://orcid.org/0000-0003-1039-6283"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Glenn Byrenheid","raw_affiliation_strings":["Institute for Numerical Simulation, University of Bonn, Endenicher Allee 62, 53115, Bonn, Germany","University of Bonn >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Institute for Numerical Simulation, University of Bonn, Endenicher Allee 62, 53115, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"University of Bonn >  >  >  >","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052412980","display_name":"Lutz K\u00e4mmerer","orcid":null},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lutz K\u00e4mmerer","raw_affiliation_strings":["Faculty of Mathematics, Technische Universit\u00e4t Chemnitz, 09107, Chemnitz, Germany","Technische Universit\u00e4t Chemnitz\u2020"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Technische Universit\u00e4t Chemnitz, 09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Technische Universit\u00e4t Chemnitz\u2020","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010819277","display_name":"Tino Ullrich","orcid":"https://orcid.org/0000-0002-0055-0542"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tino Ullrich","raw_affiliation_strings":["Institute for Numerical Simulation, University of Bonn, Endenicher Allee 62, 53115, Bonn, Germany","University of Bonn >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Institute for Numerical Simulation, University of Bonn, Endenicher Allee 62, 53115, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"University of Bonn >  >  >  >","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085485406","display_name":"Toni Volkmer","orcid":null},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Toni Volkmer","raw_affiliation_strings":["Faculty of Mathematics, Technische Universit\u00e4t Chemnitz, 09107, Chemnitz, Germany","Technische Universit\u00e4t Chemnitz\u2020"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Technische Universit\u00e4t Chemnitz, 09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Technische Universit\u00e4t Chemnitz\u2020","institution_ids":["https://openalex.org/I2610724"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064137334"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2126,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54565115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"136","issue":"4","first_page":"993","last_page":"1034"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9993000030517578,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7605624198913574},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6569428443908691},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5183175802230835},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5058779120445251},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.48288798332214355},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.46622422337532043},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4574619233608246},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.4424337148666382},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.42335861921310425},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32567447423934937},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23830097913742065},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09282007813453674},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06714776158332825}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7605624198913574},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6569428443908691},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5183175802230835},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5058779120445251},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.48288798332214355},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.46622422337532043},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4574619233608246},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.4424337148666382},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.42335861921310425},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32567447423934937},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23830097913742065},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09282007813453674},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06714776158332825},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00211-016-0861-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0861-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1510.08336","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.08336","pdf_url":"https://arxiv.org/pdf/1510.08336","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2498858925","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1510.08336","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1510.08336","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1510.08336","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1510.08336","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.08336","pdf_url":"https://arxiv.org/pdf/1510.08336","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W5088572","https://openalex.org/W20389081","https://openalex.org/W52854976","https://openalex.org/W108609485","https://openalex.org/W116055073","https://openalex.org/W204604922","https://openalex.org/W339000481","https://openalex.org/W602313805","https://openalex.org/W1714077815","https://openalex.org/W1867316708","https://openalex.org/W1975340457","https://openalex.org/W1976544585","https://openalex.org/W1981512668","https://openalex.org/W1984435106","https://openalex.org/W1989439787","https://openalex.org/W1990197703","https://openalex.org/W1996487988","https://openalex.org/W1996806998","https://openalex.org/W2015368696","https://openalex.org/W2020990401","https://openalex.org/W2021382991","https://openalex.org/W2024729723","https://openalex.org/W2034374307","https://openalex.org/W2048708887","https://openalex.org/W2079604663","https://openalex.org/W2095100077","https://openalex.org/W2099747558","https://openalex.org/W2103053858","https://openalex.org/W2110888545","https://openalex.org/W2129599384","https://openalex.org/W2140262981","https://openalex.org/W2161352487","https://openalex.org/W2567197523","https://openalex.org/W2949765075","https://openalex.org/W3106016933","https://openalex.org/W4241566164","https://openalex.org/W4255975175"],"related_works":["https://openalex.org/W2963814522","https://openalex.org/W2055715492","https://openalex.org/W3099386363","https://openalex.org/W2964251843","https://openalex.org/W2099747558","https://openalex.org/W2392207747","https://openalex.org/W2015558767","https://openalex.org/W2949812197","https://openalex.org/W1981512668","https://openalex.org/W3134871005","https://openalex.org/W2565731647","https://openalex.org/W2036346468","https://openalex.org/W2033560593","https://openalex.org/W2021186990","https://openalex.org/W2338000073","https://openalex.org/W2950989697","https://openalex.org/W2796165036","https://openalex.org/W3194792970","https://openalex.org/W2613650536","https://openalex.org/W3106324661"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}