{"id":"https://openalex.org/W2046265854","doi":"https://doi.org/10.1155/2014/236965","title":"A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity","display_name":"A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2046265854","doi":"https://doi.org/10.1155/2014/236965","mag":"2046265854"},"language":"en","primary_location":{"id":"doi:10.1155/2014/236965","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/236965","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/236965.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","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/jam/2014/236965.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051357811","display_name":"Chunmiao Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210161599","display_name":"Hechi University","ror":"https://ror.org/05pjkyk24","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210161599"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunmiao Huang","raw_affiliation_strings":["School of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, China","institution_ids":["https://openalex.org/I4210161599"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047166940","display_name":"Wu-Sheng Wang","orcid":"https://orcid.org/0000-0003-1939-0232"},"institutions":[{"id":"https://openalex.org/I4210161599","display_name":"Hechi University","ror":"https://ror.org/05pjkyk24","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210161599"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu-Sheng Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, China"],"raw_orcid":"https://orcid.org/0000-0003-1939-0232","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, China","institution_ids":["https://openalex.org/I4210161599"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101966804","display_name":"Xiaoliang Zhou","orcid":"https://orcid.org/0000-0002-4663-2631"},"institutions":[{"id":"https://openalex.org/I154833797","display_name":"Lingnan Normal University","ror":"https://ror.org/01h6ecw13","country_code":"CN","type":"education","lineage":["https://openalex.org/I154833797"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoliang Zhou","raw_affiliation_strings":["Department of Mathematics, Zhanjiang Normal University, Zhanjiang, Guangdong 524088, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhanjiang Normal University, Zhanjiang, Guangdong 524088, China","institution_ids":["https://openalex.org/I154833797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.9261,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73481121,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9972000122070312,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9972000122070312,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9825000166893005,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/mathematics","display_name":"Mathematics","score":0.8709846138954163},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6409914493560791},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5966787338256836},{"id":"https://openalex.org/keywords/jensens-inequality","display_name":"Jensen's inequality","score":0.582460880279541},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5771949291229248},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5265113115310669},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5151671171188354},{"id":"https://openalex.org/keywords/chebyshevs-inequality","display_name":"Chebyshev's inequality","score":0.5063003301620483},{"id":"https://openalex.org/keywords/log-sum-inequality","display_name":"Log sum inequality","score":0.46668681502342224},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4558098018169403},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44170430302619934},{"id":"https://openalex.org/keywords/h\u00f6lders-inequality","display_name":"H\u00f6lder's inequality","score":0.4392626881599426},{"id":"https://openalex.org/keywords/rearrangement-inequality","display_name":"Rearrangement inequality","score":0.40972352027893066},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38637876510620117},{"id":"https://openalex.org/keywords/linear-inequality","display_name":"Linear inequality","score":0.2998458743095398},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.056213438510894775},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05596157908439636}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8709846138954163},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6409914493560791},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5966787338256836},{"id":"https://openalex.org/C174169938","wikidata":"https://www.wikidata.org/wiki/Q518131","display_name":"Jensen's inequality","level":5,"score":0.582460880279541},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5771949291229248},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5265113115310669},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5151671171188354},{"id":"https://openalex.org/C71564387","wikidata":"https://www.wikidata.org/wiki/Q249514","display_name":"Chebyshev's inequality","level":5,"score":0.5063003301620483},{"id":"https://openalex.org/C46979015","wikidata":"https://www.wikidata.org/wiki/Q6666859","display_name":"Log sum inequality","level":3,"score":0.46668681502342224},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4558098018169403},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44170430302619934},{"id":"https://openalex.org/C91558832","wikidata":"https://www.wikidata.org/wiki/Q731894","display_name":"H\u00f6lder's inequality","level":4,"score":0.4392626881599426},{"id":"https://openalex.org/C126087398","wikidata":"https://www.wikidata.org/wiki/Q1149189","display_name":"Rearrangement inequality","level":4,"score":0.40972352027893066},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38637876510620117},{"id":"https://openalex.org/C84135550","wikidata":"https://www.wikidata.org/wiki/Q3154022","display_name":"Linear inequality","level":3,"score":0.2998458743095398},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.056213438510894775},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05596157908439636},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.0},{"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/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/236965","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/236965","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/236965.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305746","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305746","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:236965","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/236965.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:64e716f5d5424dc19c6c9acb13a6f8a0","is_oa":false,"landing_page_url":"https://doaj.org/article/64e716f5d5424dc19c6c9acb13a6f8a0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/236965","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/236965","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/236965.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.7300000190734863,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1188176623","display_name":null,"funder_award_id":"2013KJCX0125","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1693185231","display_name":null,"funder_award_id":"11161018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2136028775","display_name":null,"funder_award_id":"s2013010013385","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2515875569","display_name":null,"funder_award_id":"2012GXNSFAA053009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G943592660","display_name":null,"funder_award_id":"GXTSZY2220","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"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"},{"id":"https://openalex.org/F4320326279","display_name":"Department of Education of Guangdong Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2046265854.pdf","grobid_xml":"https://content.openalex.org/works/W2046265854.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W16210129","https://openalex.org/W45047409","https://openalex.org/W411118483","https://openalex.org/W590529998","https://openalex.org/W817191141","https://openalex.org/W1501503542","https://openalex.org/W1602939453","https://openalex.org/W1967712550","https://openalex.org/W1973297078","https://openalex.org/W1987196160","https://openalex.org/W1995734456","https://openalex.org/W2010294413","https://openalex.org/W2021492437","https://openalex.org/W2033306898","https://openalex.org/W2035182903","https://openalex.org/W2036356904","https://openalex.org/W2050409351","https://openalex.org/W2062277638","https://openalex.org/W2079131035","https://openalex.org/W2079443825","https://openalex.org/W2092393210","https://openalex.org/W2109416477","https://openalex.org/W2109628201","https://openalex.org/W2128074182","https://openalex.org/W2141674881","https://openalex.org/W2299863887","https://openalex.org/W2317926736","https://openalex.org/W2355003189","https://openalex.org/W2494779131","https://openalex.org/W2787959293"],"related_works":["https://openalex.org/W4319791510","https://openalex.org/W2367379155","https://openalex.org/W58810707","https://openalex.org/W4307051266","https://openalex.org/W2317565166","https://openalex.org/W1966791701","https://openalex.org/W3033783331","https://openalex.org/W2366121247","https://openalex.org/W3211760805","https://openalex.org/W3217701198"],"abstract_inverted_index":{"We":[0],"discuss":[1],"a":[2],"class":[3],"of":[4,16,53],"new":[5],"nonlinear":[6],"weakly":[7],"singular":[8],"difference":[9],"inequality,":[10,20,23],"which":[11],"is":[12,41,47],"solved":[13],"by":[14],"change":[15],"variable,":[17],"discrete":[18,21],"H\u00f6lder":[19],"Jensen":[22],"the":[24,38,51],"mean-value":[25],"theorem":[26],"for":[27,37],"integrals":[28],"and":[29,32],"amplification":[30],"method,":[31],"Gamma":[33],"function.":[34],"Explicit":[35],"bound":[36],"unknown":[39],"function":[40],"given":[42],"clearly.":[43],"Moreover,":[44],"an":[45],"example":[46],"presented":[48],"to":[49],"show":[50],"usefulness":[52],"our":[54],"results.":[55]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
