{"id":"https://openalex.org/W1998984195","doi":"https://doi.org/10.1155/s0161171204208158","title":"A lower bound for ratio of power means","display_name":"A lower bound for ratio of power means","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1998984195","doi":"https://doi.org/10.1155/s0161171204208158","mag":"1998984195"},"language":"en","primary_location":{"id":"doi:10.1155/s0161171204208158","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204208158","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/705832.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":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2004/705832.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100695390","display_name":"Feng Qi","orcid":"https://orcid.org/0000-0001-6239-2968"},"institutions":[{"id":"https://openalex.org/I4210110925","display_name":"Jiaozuo University","ror":"https://ror.org/024nbxn35","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110925"]},{"id":"https://openalex.org/I186365177","display_name":"Institute of Technology of Cambodia","ror":"https://ror.org/054z67s11","country_code":"KH","type":"education","lineage":["https://openalex.org/I186365177"]}],"countries":["CN","KH"],"is_corresponding":true,"raw_author_name":"Feng Qi","raw_affiliation_strings":["Department of Applied Mathematics and Informatics, Jiaozuo Institute of Technology, Henan, Jiaozuo City 454000"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Informatics, Jiaozuo Institute of Technology, Henan, Jiaozuo City 454000","institution_ids":["https://openalex.org/I4210110925","https://openalex.org/I186365177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073122046","display_name":"Bai\u2010Ni Guo","orcid":"https://orcid.org/0000-0001-6156-2590"},"institutions":[{"id":"https://openalex.org/I186365177","display_name":"Institute of Technology of Cambodia","ror":"https://ror.org/054z67s11","country_code":"KH","type":"education","lineage":["https://openalex.org/I186365177"]},{"id":"https://openalex.org/I4210110925","display_name":"Jiaozuo University","ror":"https://ror.org/024nbxn35","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110925"]}],"countries":["CN","KH"],"is_corresponding":false,"raw_author_name":"Bai-Ni Guo","raw_affiliation_strings":["Department of Applied Mathematics and Informatics, Jiaozuo Institute of Technology, Henan, Jiaozuo City 454000"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Informatics, Jiaozuo Institute of Technology, Henan, Jiaozuo City 454000","institution_ids":["https://openalex.org/I4210110925","https://openalex.org/I186365177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112716122","display_name":"Lokenath Debnath","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lokenath Debnath","raw_affiliation_strings":["Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78539"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78539","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100695390"],"corresponding_institution_ids":["https://openalex.org/I186365177","https://openalex.org/I4210110925"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.4084,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77286838,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2004","issue":"1","first_page":"49","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9919999837875366,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.989799976348877,"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/algorithm","display_name":"Algorithm","score":0.5365939140319824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24559003114700317}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5365939140319824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24559003114700317}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/s0161171204208158","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204208158","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/705832.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:eprints.vu.edu.au:17775","is_oa":true,"landing_page_url":"https://vuir.vu.edu.au/17775/","pdf_url":"https://vuir.vu.edu.au/17775/","source":{"id":"https://openalex.org/S4306400215","display_name":"Victoria University Research Repository (Victoria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I41156924","host_organization_name":"Victoria University of Wellington","host_organization_lineage":["https://openalex.org/I41156924"],"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":"NonPeerReviewed"},{"id":"pmh:oai:RePEc:hin:jijmms:705832","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2004/705832.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:90456afbd55f43f88f4226ff46fae6cf","is_oa":true,"landing_page_url":"https://doaj.org/article/90456afbd55f43f88f4226ff46fae6cf","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 2004, Iss 1, Pp 49-53 (2004)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/s0161171204208158","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204208158","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/705832.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":[{"id":"https://openalex.org/G1845620319","display_name":null,"funder_award_id":"004051800","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1848680955","display_name":null,"funder_award_id":"0112000200","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3660303050","display_name":null,"funder_award_id":"10001016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4217659276","display_name":null,"funder_award_id":"004051800","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4800145857","display_name":"Research in Geometry and Topology","funder_award_id":"0405180","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5075268987","display_name":"Waveform Tomography from an Executed Big Footprint Experiment:  The Chi-Chi (Taiwan) Earthquake","funder_award_id":"0001016","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5599649393","display_name":null,"funder_award_id":"200020","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5685609254","display_name":"Quantitative Stochastic Homogenization and Renormalization Methods","funder_award_id":"2000200","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G876337761","display_name":"Workshop: Analytical Instrumentation for the New Millenium - Materials; New Orleans, LA","funder_award_id":"0112000","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1998984195.pdf","grobid_xml":"https://content.openalex.org/works/W1998984195.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W177033587","https://openalex.org/W368470988","https://openalex.org/W1557013498","https://openalex.org/W1959975027","https://openalex.org/W1961098257","https://openalex.org/W1997390304","https://openalex.org/W2037183901","https://openalex.org/W2037304815","https://openalex.org/W2055060590","https://openalex.org/W2064960488","https://openalex.org/W2072959672","https://openalex.org/W2073242700","https://openalex.org/W2096113256","https://openalex.org/W2128854243","https://openalex.org/W2129779435","https://openalex.org/W2132813409","https://openalex.org/W2227998922","https://openalex.org/W2329992033","https://openalex.org/W2468532079","https://openalex.org/W2560537322","https://openalex.org/W2799550092","https://openalex.org/W3137092841","https://openalex.org/W4230731707","https://openalex.org/W6601464011","https://openalex.org/W6604285789","https://openalex.org/W6822412452"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2062023542"],"abstract_inverted_index":{"Let":[0],"n":[1,22,37,42,50,53],"and":[2,14],"m":[3,44,55],"be":[4],"natural":[5],"numbers.":[6],"Suppose":[7],"that":[8],"is":[9,60],"an":[10],"increasing,":[11],"logarithmically":[12],"convex,":[13],"positive":[15,29],"sequence.":[16],"Denote":[17],"the":[18,61],"power":[19],"mean":[20],"P":[21,36,41],"(":[23,38,45],"r":[24,32,39,46],")":[25,47],"for":[26],"any":[27],"given":[28],"real":[30],"number":[31],"by":[33],".":[34,56],"Then":[35],")/":[40],"+":[43,54],"\u2265":[48],"a":[49,52],"/":[51],"The":[57],"lower":[58],"bound":[59],"best":[62],"possible.":[63]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
