{"id":"https://openalex.org/W4283782100","doi":"https://doi.org/10.3390/axioms11070323","title":"New Diamond-\u03b1 Steffensen-Type Inequalities for Convex Functions over General Time Scale Measure Spaces","display_name":"New Diamond-\u03b1 Steffensen-Type Inequalities for Convex Functions over General Time Scale Measure Spaces","publication_year":2022,"publication_date":"2022-07-01","ids":{"openalex":"https://openalex.org/W4283782100","doi":"https://doi.org/10.3390/axioms11070323"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11070323","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11070323","pdf_url":"https://www.mdpi.com/2075-1680/11/7/323/pdf?version=1657098299","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/7/323/pdf?version=1657098299","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013404917","display_name":"Ksenija Smoljak Kalamir","orcid":"https://orcid.org/0000-0001-7769-9516"},"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"]},{"id":"https://openalex.org/I2802433978","display_name":"Pliva (Croatia)","ror":"https://ror.org/02cthxa95","country_code":"HR","type":"company","lineage":["https://openalex.org/I2802433978"]}],"countries":["HR"],"is_corresponding":true,"raw_author_name":"Ksenija Smoljak Kalamir","raw_affiliation_strings":["Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovi\u0107a 28a, 10000 Zagreb, Croatia"],"affiliations":[{"raw_affiliation_string":"Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovi\u0107a 28a, 10000 Zagreb, Croatia","institution_ids":["https://openalex.org/I2802433978","https://openalex.org/I181343428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013404917"],"corresponding_institution_ids":["https://openalex.org/I181343428","https://openalex.org/I2802433978"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":2.1099,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.86537902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"11","issue":"7","first_page":"323","last_page":"323"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9958999752998352,"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":0.9908000230789185,"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/mathematics","display_name":"Mathematics","score":0.6902294158935547},{"id":"https://openalex.org/keywords/time-scale-calculus","display_name":"Time-scale calculus","score":0.565780758857727},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.563827395439148},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5323550701141357},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5234910249710083},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5185428261756897},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5170996189117432},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5149270296096802},{"id":"https://openalex.org/keywords/nabla-symbol","display_name":"Nabla symbol","score":0.47325876355171204},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4686319828033447},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4441974461078644},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35313668847084045},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32494688034057617},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13529172539710999},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11200132966041565},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.07926326990127563},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06188049912452698}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6902294158935547},{"id":"https://openalex.org/C33695381","wikidata":"https://www.wikidata.org/wiki/Q7804838","display_name":"Time-scale calculus","level":3,"score":0.565780758857727},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.563827395439148},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5323550701141357},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5234910249710083},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5185428261756897},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5170996189117432},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5149270296096802},{"id":"https://openalex.org/C54207081","wikidata":"https://www.wikidata.org/wiki/Q937750","display_name":"Nabla symbol","level":3,"score":0.47325876355171204},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4686319828033447},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4441974461078644},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35313668847084045},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32494688034057617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13529172539710999},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11200132966041565},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.07926326990127563},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06188049912452698},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11070323","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11070323","pdf_url":"https://www.mdpi.com/2075-1680/11/7/323/pdf?version=1657098299","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0455f9e1cc9b4a3c8d5e7d8a2c673dfa","is_oa":true,"landing_page_url":"https://doaj.org/article/0455f9e1cc9b4a3c8d5e7d8a2c673dfa","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 7, p 323 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/7/323/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11070323","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 7; Pages: 323","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11070323","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11070323","pdf_url":"https://www.mdpi.com/2075-1680/11/7/323/pdf?version=1657098299","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320310928","display_name":"Sveu\u010dili\u0161te u Zagrebu","ror":"https://ror.org/00mv6sv71"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283782100.pdf","grobid_xml":"https://content.openalex.org/works/W4283782100.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W271810198","https://openalex.org/W1522419168","https://openalex.org/W1757926000","https://openalex.org/W1976039496","https://openalex.org/W2004769773","https://openalex.org/W2012043941","https://openalex.org/W2015450767","https://openalex.org/W2036089509","https://openalex.org/W2052688389","https://openalex.org/W2066397800","https://openalex.org/W2067089627","https://openalex.org/W2068653027","https://openalex.org/W2078828212","https://openalex.org/W2189011700","https://openalex.org/W2326958665","https://openalex.org/W2344676284","https://openalex.org/W2602877630","https://openalex.org/W2800962038","https://openalex.org/W2894939227","https://openalex.org/W2951581408","https://openalex.org/W3103061760","https://openalex.org/W3189291003","https://openalex.org/W3215715867","https://openalex.org/W4205747304","https://openalex.org/W4206957067","https://openalex.org/W4213173791","https://openalex.org/W4220894756","https://openalex.org/W4225443044","https://openalex.org/W4285164869","https://openalex.org/W6638154678","https://openalex.org/W6653494170","https://openalex.org/W6670217817","https://openalex.org/W6687192563","https://openalex.org/W6798880190"],"related_works":["https://openalex.org/W2229925025","https://openalex.org/W1539596337","https://openalex.org/W33469805","https://openalex.org/W1855007440","https://openalex.org/W2788247819","https://openalex.org/W2914699178","https://openalex.org/W2024985363","https://openalex.org/W4301243416","https://openalex.org/W4291638219","https://openalex.org/W4387635768"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,17,39,65],"extend":[4],"some":[5,19],"Steffensen-type":[6,21,68],"inequalities":[7,22,42],"to":[8],"time":[9,31,57],"scales":[10,58],"by":[11],"using":[12,51],"the":[13,44,47,52],"diamond-\u03b1-dynamic":[14],"integral.":[15,49],"Further,":[16],"prove":[18],"new":[20],"for":[23,43],"convex":[24],"functions":[25],"utilizing":[26],"positive":[27],"\u03c3-finite":[28],"measures":[29],"in":[30],"scale":[32],"calculus.":[33],"Moreover,":[34],"as":[35],"a":[36],"special":[37],"case,":[38],"obtain":[40,66],"these":[41],"delta":[45],"and":[46,60],"nabla":[48],"By":[50],"relation":[53],"between":[54],"calculus":[55,62],"on":[56,63],"T":[59],"differential":[61],"R,":[64],"already-known":[67],"inequalities.":[69]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-07-03T00:00:00"}
