{"id":"https://openalex.org/W1971669232","doi":"https://doi.org/10.1142/s0218488514500111","title":"Steffensen's Integral Inequality for the Sugeno Integral","display_name":"Steffensen's Integral Inequality for the Sugeno Integral","publication_year":2014,"publication_date":"2014-04-01","ids":{"openalex":"https://openalex.org/W1971669232","doi":"https://doi.org/10.1142/s0218488514500111","mag":"1971669232"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488514500111","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488514500111","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","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/A5062572464","display_name":"Dug Hun Hong","orcid":"https://orcid.org/0000-0001-8268-3551"},"institutions":[{"id":"https://openalex.org/I89440247","display_name":"Myongji University","ror":"https://ror.org/00s9dpb54","country_code":"KR","type":"education","lineage":["https://openalex.org/I89440247"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Dug Hun Hong","raw_affiliation_strings":["Department of Mathematics, Myongji University, Kyunggi 449-728, South Korea","Department of Mathematics, Myongji University, Kyunggi 449-728, South Korea#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Myongji University, Kyunggi 449-728, South Korea","institution_ids":["https://openalex.org/I89440247"]},{"raw_affiliation_string":"Department of Mathematics, Myongji University, Kyunggi 449-728, South Korea#TAB#","institution_ids":["https://openalex.org/I89440247"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042873880","display_name":"Eunho L. Moon","orcid":null},"institutions":[{"id":"https://openalex.org/I89440247","display_name":"Myongji University","ror":"https://ror.org/00s9dpb54","country_code":"KR","type":"education","lineage":["https://openalex.org/I89440247"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Eunho L. Moon","raw_affiliation_strings":["BangMok College of Basic Studies, Myongji University, Kyunggi 449-728, South Korea","BangMok College of Basic Studies, Myongji University, Kyunggi 449-728, South Korea#TAB#"],"affiliations":[{"raw_affiliation_string":"BangMok College of Basic Studies, Myongji University, Kyunggi 449-728, South Korea","institution_ids":["https://openalex.org/I89440247"]},{"raw_affiliation_string":"BangMok College of Basic Studies, Myongji University, Kyunggi 449-728, South Korea#TAB#","institution_ids":["https://openalex.org/I89440247"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030885415","display_name":"Jae Duck Kim","orcid":"https://orcid.org/0000-0001-5313-6807"},"institutions":[{"id":"https://openalex.org/I89440247","display_name":"Myongji University","ror":"https://ror.org/00s9dpb54","country_code":"KR","type":"education","lineage":["https://openalex.org/I89440247"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jae Duck Kim","raw_affiliation_strings":["Department of Mathematics, Myongji University, Kyunggi 449-728, South Korea","Department of Mathematics, Myongji University, Kyunggi 449-728, South Korea#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Myongji University, Kyunggi 449-728, South Korea","institution_ids":["https://openalex.org/I89440247"]},{"raw_affiliation_string":"Department of Mathematics, Myongji University, Kyunggi 449-728, South Korea#TAB#","institution_ids":["https://openalex.org/I89440247"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062572464"],"corresponding_institution_ids":["https://openalex.org/I89440247"],"apc_list":null,"apc_paid":null,"fwci":0.4633,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60068725,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"22","issue":"02","first_page":"235","last_page":"241"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9997000098228455,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9997000098228455,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9943000078201294,"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/T11822","display_name":"Analytic and geometric function theory","score":0.9728000164031982,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/inequality","display_name":"Inequality","score":0.7021374702453613},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6899257302284241},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.6512214541435242},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5405030250549316},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5316755175590515},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41005223989486694},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3156678080558777},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05368807911872864}],"concepts":[{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.7021374702453613},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6899257302284241},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.6512214541435242},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5405030250549316},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5316755175590515},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41005223989486694},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3156678080558777},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05368807911872864},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488514500111","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488514500111","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5699999928474426,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W121355339","https://openalex.org/W1974912179","https://openalex.org/W1978734360","https://openalex.org/W1988637975","https://openalex.org/W1997212128","https://openalex.org/W2000229542","https://openalex.org/W2028119905","https://openalex.org/W2033236367","https://openalex.org/W2033828524","https://openalex.org/W2040196403","https://openalex.org/W2046757739","https://openalex.org/W2054542714","https://openalex.org/W2136106327"],"related_works":["https://openalex.org/W3007838749","https://openalex.org/W2047131671","https://openalex.org/W2181432034","https://openalex.org/W4237951173","https://openalex.org/W2905264121","https://openalex.org/W4214479031","https://openalex.org/W4385826423","https://openalex.org/W4238658364","https://openalex.org/W2097696048","https://openalex.org/W4387635768"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"consider":[4],"Steffensen's":[5],"integral":[6,11],"inequality":[7],"for":[8,50],"the":[9],"Sugeno":[10],"[Formula:":[12,57],"see":[13,58],"text]":[14,59],"where":[15,44],"f":[16],"is":[17,36],"a":[18,37],"nonincreasing":[19,38],"and":[20,34],"convex":[21],"function":[22,39],"defined":[23,40],"on":[24,41],"[0,":[25,42],"1]":[26,43],"with":[27,56],"f(0)":[28],"=":[29,32],"1,":[30],"f(1)":[31],"0":[33,45],"g":[35],"\u2264":[46,48],"g(t)":[47],"1":[49],"all":[51],"t":[52],"\u2208":[53],"[a,":[54],"b]":[55]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
