{"id":"https://openalex.org/W4378878807","doi":"https://doi.org/10.3390/axioms12060539","title":"Upper Local Uniform Monotonicity in F-Normed Musielak\u2013Orlicz Spaces","display_name":"Upper Local Uniform Monotonicity in F-Normed Musielak\u2013Orlicz Spaces","publication_year":2023,"publication_date":"2023-05-30","ids":{"openalex":"https://openalex.org/W4378878807","doi":"https://doi.org/10.3390/axioms12060539"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12060539","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12060539","pdf_url":"https://www.mdpi.com/2075-1680/12/6/539/pdf?version=1685443073","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/6/539/pdf?version=1685443073","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101694804","display_name":"Yanli Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanli Liu","raw_affiliation_strings":["Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China"],"raw_orcid":"https://orcid.org/0009-0005-3653-9571","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China","institution_ids":["https://openalex.org/I100188998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100571243","display_name":"Yangyang Xue","orcid":null},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yangyang Xue","raw_affiliation_strings":["Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China","institution_ids":["https://openalex.org/I100188998"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082086706","display_name":"Yunan Cui","orcid":"https://orcid.org/0000-0001-6756-2233"},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunan Cui","raw_affiliation_strings":["Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China"],"raw_orcid":"https://orcid.org/0000-0001-6756-2233","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China","institution_ids":["https://openalex.org/I100188998"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100571243"],"corresponding_institution_ids":["https://openalex.org/I100188998"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1354602,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"6","first_page":"539","last_page":"539"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9987999796867371,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.9345654845237732},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7867617607116699},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6580772399902344},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5361454486846924},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.51082444190979},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33279240131378174}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.9345654845237732},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7867617607116699},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6580772399902344},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5361454486846924},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.51082444190979},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33279240131378174},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms12060539","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12060539","pdf_url":"https://www.mdpi.com/2075-1680/12/6/539/pdf?version=1685443073","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a250b1f8e3a94edf892f80f3837dd3dd","is_oa":true,"landing_page_url":"https://doaj.org/article/a250b1f8e3a94edf892f80f3837dd3dd","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 6, p 539 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms12060539","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12060539","pdf_url":"https://www.mdpi.com/2075-1680/12/6/539/pdf?version=1685443073","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320328373","display_name":"National Key Laboratory Foundation of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4378878807.pdf"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W312048807","https://openalex.org/W885974151","https://openalex.org/W974637762","https://openalex.org/W2010738884","https://openalex.org/W2036163262","https://openalex.org/W2075913091","https://openalex.org/W2900227929","https://openalex.org/W2984104486","https://openalex.org/W4376109017","https://openalex.org/W6610946119"],"related_works":["https://openalex.org/W4380682190","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W2102386043","https://openalex.org/W2945307361","https://openalex.org/W2053698688","https://openalex.org/W2005710836","https://openalex.org/W2116636209","https://openalex.org/W4366779185","https://openalex.org/W4226230222"],"abstract_inverted_index":{"In":[0],"this":[1,72],"paper,":[2],"the":[3,9,15,24,31,46,53,57,63,68],"necessary":[4],"and":[5,14,37,56],"sufficient":[6],"conditions":[7],"for":[8],"upper":[10,16,38],"strict":[11,35],"monotonicity":[12,19,36,41],"point":[13,20],"local":[17,39],"uniform":[18,40],"are":[21,42],"given":[22],"in":[23,45,62,71],"case":[25,47],"of":[26,48],"Musielak\u2013Orlicz":[27,49],"spaces":[28,50],"equipped":[29],"with":[30,52],"Mazur\u2013Orlicz":[32,54],"F-norm.":[33],"Moreover,":[34],"easily":[43],"deduced":[44],"endowed":[51],"F-norm,":[55],"work":[58],"by":[59,67],"Kaczmarek":[60],"presented":[61,70],"references":[64],"is":[65],"encompassed":[66],"corollaries":[69],"paper.":[73]},"counts_by_year":[],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}