{"id":"https://openalex.org/W163348877","doi":null,"title":"NEW BOUNDS FOR THE IDENTRIC MEAN OF TWO ARGUMENTS","display_name":"NEW BOUNDS FOR THE IDENTRIC MEAN OF TWO ARGUMENTS","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W163348877","mag":"163348877"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.8874","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.8874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mat.ub.edu/EMIS/journals/JIPAM/images/112_08_JIPAM/112_08.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5016926555","display_name":"Omran Kouba","orcid":"https://orcid.org/0000-0002-9577-3326","observed_orcids":["https://orcid.org/0000-0002-9577-3326"]},"institutions":[{"id":"https://openalex.org/I99731219","display_name":"Higher Institute for Applied Sciences and Technology","ror":"https://ror.org/009qm7w92","country_code":"SY","type":"education","lineage":["https://openalex.org/I99731219"]}],"countries":["SY"],"is_corresponding":true,"raw_author_name":"Omran Kouba","raw_affiliation_strings":["Higher Institute for Applied Sciences and Technology"],"raw_orcid":"https://orcid.org/0000-0002-9577-3326","affiliations":[{"raw_affiliation_string":"Higher Institute for Applied Sciences and Technology","institution_ids":["https://openalex.org/I99731219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016926555"],"corresponding_institution_ids":["https://openalex.org/I99731219"],"apc_list":null,"apc_paid":null,"fwci":0.7545,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.63723111,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"9","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":1.0,"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":1.0,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.0,"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/identric-mean","display_name":"identric mean","score":0.9990000128746033},{"id":"https://openalex.org/keywords/arithmetic-mean","display_name":"arithmetic mean","score":0.8040000200271606},{"id":"https://openalex.org/keywords/geometric-mean","display_name":"geometric mean","score":0.9990000128746033},{"id":"https://openalex.org/keywords/means-inequalities","display_name":"means inequalities","score":0.5649999976158142},{"id":"https://openalex.org/keywords/weighted-average","display_name":"weighted average","score":0.3720000088214874}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8680436611175537},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6462055444717407},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6236582398414612},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.5441587567329407},{"id":"https://openalex.org/C40222840","wikidata":"https://www.wikidata.org/wiki/Q185049","display_name":"Geometric mean","level":2,"score":0.433207631111145},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16243389248847961},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.8874","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.8874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mat.ub.edu/EMIS/journals/JIPAM/images/112_08_JIPAM/112_08.pdf","raw_type":"text"},{"id":"mag:163348877","doi":null,"is_oa":false,"landing_page_url":"https://www.maths.tcd.ie/EMIS/journals/JIPAM/images/112_08_JIPAM/112_08.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764894508","display_name":"Journal of Inequalities in Pure & Applied Mathematics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Inequalities in Pure & Applied Mathematics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1976469068","https://openalex.org/W2062613094","https://openalex.org/W2069460390","https://openalex.org/W2186862906"],"related_works":["https://openalex.org/W2317015632","https://openalex.org/W2009141406","https://openalex.org/W4362520497","https://openalex.org/W7097110235","https://openalex.org/W7101007910","https://openalex.org/W7150972220","https://openalex.org/W7117456280","https://openalex.org/W1976469068","https://openalex.org/W7098887313","https://openalex.org/W2461057326"],"abstract_inverted_index":{"their":[0],"arithmetic":[1],"mean,":[2,4,7],"geometric":[3],"and":[5,49,55,71,87,98,102,105],"identric":[6],"respectively.":[8],"Also,":[9],"let":[10],"Kp(x,":[11,35,60],"y)":[12,19,25,36,39,58,61],"=":[13,46,68],"p":[14,52,74],"2":[15],"3":[16,22,77],"Ap":[17],"(x,":[18,24],"+":[20],"1":[21],"Gp":[23],"for":[26,40,62],"p>":[27],"0.":[28],"In":[29],"this":[30],"note":[31],"we":[32],"prove":[33],"that":[34,56],"<":[37,59],"I(x,":[38,57],"all":[41,63],"positive":[42,64],"real":[43,65],"numbers":[44,66],"x":[45,67],"y":[47,69],"if":[48,51,70,73],"only":[50,72],"\u2264":[53],"6/5,":[54],"\u2265":[75],"(ln":[76],"\u2212":[78,81],"ln":[79,82],"2)/(1":[80],"2).":[83],"These":[84],"results,":[85],"complement":[86],"extend":[88],"similar":[89],"inequalities":[90],"due":[91],"to":[92],"J.":[93,96],"S\u00e1ndor":[94,97],"[2],":[95],"T.":[99],"Trif":[100],"[3],":[101],"H.":[103],"Alzer":[104],"S.-L.":[106],"Qiu":[107],"[1].":[108]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}