{"id":"https://openalex.org/W1970756878","doi":"https://doi.org/10.1155/2012/574634","title":"On Generalized Flett's Mean Value Theorem","display_name":"On Generalized Flett's Mean Value Theorem","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1970756878","doi":"https://doi.org/10.1155/2012/574634","mag":"1970756878"},"language":"en","primary_location":{"id":"doi:10.1155/2012/574634","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/574634","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/574634.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2012/574634.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jana Moln\u00e1rov\u00e1","orcid":"https://orcid.org/0000-0001-7236-1372"},"institutions":[{"id":"https://openalex.org/I204881574","display_name":"University of Pavol Jozef \u0160af\u00e1rik","ror":"https://ror.org/039965637","country_code":"SK","type":"education","lineage":["https://openalex.org/I204881574"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Jana Moln\u00e1rov\u00e1","raw_affiliation_strings":["Institute of Mathematics, Faculty of Science, Pavol Jozef \u0160af\u00e1rik University in Ko\u0161ice, Jesenn\u00e1 5, 040 01 Ko\u0161ice, Slovakia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Faculty of Science, Pavol Jozef \u0160af\u00e1rik University in Ko\u0161ice, Jesenn\u00e1 5, 040 01 Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I204881574"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204881574"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.2429,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74953107,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.2599000036716461,"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":0.2599000036716461,"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.13830000162124634,"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":0.12349999696016312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mean-value-theorem","display_name":"Mean value theorem (divided differences)","score":0.8163999915122986},{"id":"https://openalex.org/keywords/mean-value","display_name":"Mean value","score":0.5884000062942505},{"id":"https://openalex.org/keywords/generalized-mean","display_name":"Generalized mean","score":0.48809999227523804},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.44510000944137573},{"id":"https://openalex.org/keywords/brouwer-fixed-point-theorem","display_name":"Brouwer fixed-point theorem","score":0.3763999938964844},{"id":"https://openalex.org/keywords/picard\u2013lindel\u00f6f-theorem","display_name":"Picard\u2013Lindel\u00f6f theorem","score":0.36469998955726624},{"id":"https://openalex.org/keywords/danskins-theorem","display_name":"Danskin's theorem","score":0.3319999873638153}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9544000029563904},{"id":"https://openalex.org/C139588767","wikidata":"https://www.wikidata.org/wiki/Q17098096","display_name":"Mean value theorem (divided differences)","level":4,"score":0.8163999915122986},{"id":"https://openalex.org/C2988626262","wikidata":"https://www.wikidata.org/wiki/Q2796622","display_name":"Mean value","level":2,"score":0.5884000062942505},{"id":"https://openalex.org/C117355083","wikidata":"https://www.wikidata.org/wiki/Q855729","display_name":"Generalized mean","level":2,"score":0.48809999227523804},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.44510000944137573},{"id":"https://openalex.org/C146147875","wikidata":"https://www.wikidata.org/wiki/Q1144897","display_name":"Brouwer fixed-point theorem","level":3,"score":0.3763999938964844},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.36469998955726624},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.337799996137619},{"id":"https://openalex.org/C48540410","wikidata":"https://www.wikidata.org/wiki/Q5221089","display_name":"Danskin's theorem","level":4,"score":0.3319999873638153},{"id":"https://openalex.org/C194886279","wikidata":"https://www.wikidata.org/wiki/Q430271","display_name":"Fundamental theorem","level":3,"score":0.32899999618530273},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32519999146461487},{"id":"https://openalex.org/C90985795","wikidata":"https://www.wikidata.org/wiki/Q5042898","display_name":"Carlson's theorem","level":5,"score":0.30379998683929443},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29989999532699585},{"id":"https://openalex.org/C2776230367","wikidata":"https://www.wikidata.org/wiki/Q7314222","display_name":"Representation theorem","level":2,"score":0.2996000051498413},{"id":"https://openalex.org/C13347133","wikidata":"https://www.wikidata.org/wiki/Q1065257","display_name":"Squeeze theorem","level":5,"score":0.28790000081062317},{"id":"https://openalex.org/C193769641","wikidata":"https://www.wikidata.org/wiki/Q7496252","display_name":"Shift theorem","level":5,"score":0.27570000290870667},{"id":"https://openalex.org/C40429337","wikidata":"https://www.wikidata.org/wiki/Q1108687","display_name":"Factor theorem","level":4,"score":0.267300009727478},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.2623000144958496},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/574634","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/574634","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/574634.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1107.3264","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1107.3264","pdf_url":"https://arxiv.org/pdf/1107.3264","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":"pmh:oai:CiteSeerX.psu:10.1.1.766.7029","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.766.7029","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1107.3264.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:c7d9233837174a218621ce9093942639","is_oa":true,"landing_page_url":"https://doaj.org/article/c7d9233837174a218621ce9093942639","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/574634","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/574634","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/574634.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1970756878.pdf","grobid_xml":"https://content.openalex.org/works/W1970756878.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W92104112","https://openalex.org/W1570804790","https://openalex.org/W2014736979","https://openalex.org/W2036529050","https://openalex.org/W2092492129","https://openalex.org/W2500030554","https://openalex.org/W2586584407","https://openalex.org/W4231795554","https://openalex.org/W4238571003"],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,25],"new":[3],"proof":[4],"of":[5],"generalized":[6],"Flett's":[7,20],"mean":[8,21],"value":[9,22],"theorem":[10],"due":[11],"to":[12],"Pawlikowska":[13],"(from":[14],"1999)":[15],"using":[16],"only":[17],"the":[18],"original":[19],"theorem.":[23],"Also,":[24],"Trahan-type":[26],"condition":[27],"is":[28],"established":[29],"in":[30],"general":[31],"case.":[32]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
