{"id":"https://openalex.org/W1983609986","doi":"https://doi.org/10.1007/s10114-012-0592-3","title":"Further bounds for hardy type differences","display_name":"Further bounds for hardy type differences","publication_year":2012,"publication_date":"2012-02-28","ids":{"openalex":"https://openalex.org/W1983609986","doi":"https://doi.org/10.1007/s10114-012-0592-3","mag":"1983609986"},"language":"en","primary_location":{"id":"doi:10.1007/s10114-012-0592-3","doi":"https://doi.org/10.1007/s10114-012-0592-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10114-012-0592-3","pdf_url":null,"source":{"id":"https://openalex.org/S69859562","display_name":"Acta Mathematica Sinica English Series","issn_l":"1439-7617","issn":["1439-7617","1439-8516"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Mathematica Sinica, English Series","raw_type":"journal-article"},"volume":null,"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/A5080462833","display_name":"Kristina Kruli\u0107 Himmelreich","orcid":"https://orcid.org/0000-0002-8392-7076","observed_orcids":["https://orcid.org/0000-0002-8392-7076"]},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":true,"raw_author_name":"Kristina Kruli\u0107","raw_affiliation_strings":["Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovi\u0107a 28a, 10000, Zagreb, Croatia","Univ. of Zagreb"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovi\u0107a 28a, 10000, Zagreb, Croatia","institution_ids":["https://openalex.org/I181343428"]},{"raw_affiliation_string":"Univ. of Zagreb","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025807046","display_name":"Josip E. Pe\u010dari\u0107","orcid":"https://orcid.org/0000-0002-5510-2085","observed_orcids":["https://orcid.org/0000-0002-5510-2085"]},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Josip Pe\u010dari\u0107","raw_affiliation_strings":["Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovi\u0107a 28a, 10000, Zagreb, Croatia","Univ. of Zagreb"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovi\u0107a 28a, 10000, Zagreb, Croatia","institution_ids":["https://openalex.org/I181343428"]},{"raw_affiliation_string":"Univ. of Zagreb","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070598256","display_name":"Dora Pokaz","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Dora Pokaz","raw_affiliation_strings":["Faculty of Civil Engineering, University of Zagreb, Ka\u010di\u0107eva 26, 10000, Zagreb, Croatia","Univ. of Zagreb"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Civil Engineering, University of Zagreb, Ka\u010di\u0107eva 26, 10000, Zagreb, Croatia","institution_ids":["https://openalex.org/I181343428"]},{"raw_affiliation_string":"Univ. of Zagreb","institution_ids":["https://openalex.org/I181343428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080462833"],"corresponding_institution_ids":["https://openalex.org/I181343428"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21871885,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"6","first_page":"1091","last_page":"1102"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/hardy-s-inequality","display_name":"Hardy inequality","score":0.7900000214576721},{"id":"https://openalex.org/keywords/weighted-norm-inequalities","display_name":"weighted inequalities","score":0.7639999985694885},{"id":"https://openalex.org/keywords/superquadratic-functions","display_name":"superquadratic functions","score":0.9350000023841858},{"id":"https://openalex.org/keywords/exponential-convexity","display_name":"exponential convexity","score":0.9520000219345093},{"id":"https://openalex.org/keywords/logarithmic-convexity","display_name":"logarithmic convexity","score":0.9990000128746033},{"id":"https://openalex.org/keywords/reverse-inequalities","display_name":"reverse inequalities","score":0.5619999766349792}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7693291306495667},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7364281415939331},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6957528591156006},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.6605473160743713},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5786576867103577},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5545922517776489},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5416231155395508},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5207186341285706},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.4832961857318878},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.46835747361183167},{"id":"https://openalex.org/C20565195","wikidata":"https://www.wikidata.org/wiki/Q841170","display_name":"Inequality of arithmetic and geometric means","level":5,"score":0.4455568790435791},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.43489110469818115},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3693937361240387},{"id":"https://openalex.org/C84135550","wikidata":"https://www.wikidata.org/wiki/Q3154022","display_name":"Linear inequality","level":3,"score":0.34134018421173096},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3389785587787628},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3336261808872223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29419082403182983},{"id":"https://openalex.org/C126087398","wikidata":"https://www.wikidata.org/wiki/Q1149189","display_name":"Rearrangement inequality","level":4,"score":0.2857523560523987},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.13948631286621094},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10114-012-0592-3","doi":"https://doi.org/10.1007/s10114-012-0592-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10114-012-0592-3","pdf_url":null,"source":{"id":"https://openalex.org/S69859562","display_name":"Acta Mathematica Sinica English Series","issn_l":"1439-7617","issn":["1439-7617","1439-8516"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Mathematica Sinica, English Series","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.4000000059604645,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W39893848","https://openalex.org/W656501022","https://openalex.org/W1493135876","https://openalex.org/W1590460147","https://openalex.org/W1987018077","https://openalex.org/W2011450542","https://openalex.org/W2029682754","https://openalex.org/W2032793159","https://openalex.org/W2060391301","https://openalex.org/W2063903846","https://openalex.org/W2069528055","https://openalex.org/W2070626348","https://openalex.org/W2095278186","https://openalex.org/W2114505604","https://openalex.org/W2314089103","https://openalex.org/W2321753563","https://openalex.org/W2328327186","https://openalex.org/W2334542419","https://openalex.org/W2490754630","https://openalex.org/W4292070096","https://openalex.org/W4300694852","https://openalex.org/W6640111569"],"related_works":["https://openalex.org/W4389849086","https://openalex.org/W4281957576","https://openalex.org/W2164621095","https://openalex.org/W1545461878","https://openalex.org/W2952133296","https://openalex.org/W3130449832","https://openalex.org/W3120050151","https://openalex.org/W2096962213","https://openalex.org/W4254682493","https://openalex.org/W2012850368"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2025-10-10T00:00:00"}
