{"id":"https://openalex.org/W4308475536","doi":"https://doi.org/10.3390/axioms11110616","title":"Hermite\u2013Hadamard\u2019s Integral Inequalities of (\u03b1, s)-GA- and (\u03b1, s, m)-GA-Convex Functions","display_name":"Hermite\u2013Hadamard\u2019s Integral Inequalities of (\u03b1, s)-GA- and (\u03b1, s, m)-GA-Convex Functions","publication_year":2022,"publication_date":"2022-11-06","ids":{"openalex":"https://openalex.org/W4308475536","doi":"https://doi.org/10.3390/axioms11110616"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11110616","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11110616","pdf_url":"https://www.mdpi.com/2075-1680/11/11/616/pdf?version=1669252755","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/2075-1680/11/11/616/pdf?version=1669252755","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100432457","display_name":"Jing-Yu Wang","orcid":"https://orcid.org/0000-0002-0368-7106"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing-Yu Wang","raw_affiliation_strings":["College of Mathematics and Physics, Inner Mongolia Minzu University, Tongliao 028043, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Physics, Inner Mongolia Minzu University, Tongliao 028043, China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002579115","display_name":"Hong-Ping Yin","orcid":"https://orcid.org/0000-0001-7481-0194"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong-Ping Yin","raw_affiliation_strings":["College of Mathematics and Physics, Inner Mongolia Minzu University, Tongliao 028043, China"],"raw_orcid":"https://orcid.org/0000-0001-7481-0194","affiliations":[{"raw_affiliation_string":"College of Mathematics and Physics, Inner Mongolia Minzu University, Tongliao 028043, China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101762832","display_name":"Wenlong Sun","orcid":"https://orcid.org/0000-0002-3859-3919"},"institutions":[{"id":"https://openalex.org/I157507598","display_name":"Shenyang University of Technology","ror":"https://ror.org/00d7f8730","country_code":"CN","type":"education","lineage":["https://openalex.org/I157507598"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wen-Long Sun","raw_affiliation_strings":["Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110870, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110870, China","institution_ids":["https://openalex.org/I157507598"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073122046","display_name":"Bai\u2010Ni Guo","orcid":"https://orcid.org/0000-0001-6156-2590"},"institutions":[{"id":"https://openalex.org/I4210135633","display_name":"Dallas Independent School District","ror":"https://ror.org/03s538y47","country_code":"US","type":"education","lineage":["https://openalex.org/I4210135633"]},{"id":"https://openalex.org/I4210166499","display_name":"Henan Polytechnic University","ror":"https://ror.org/05vr1c885","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210166499"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Bai-Ni Guo","raw_affiliation_strings":["Independent Researcher, Dallas, TX 75252-8024, USA","School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454003, China"],"raw_orcid":"https://orcid.org/0000-0001-6156-2590","affiliations":[{"raw_affiliation_string":"Independent Researcher, Dallas, TX 75252-8024, USA","institution_ids":["https://openalex.org/I4210135633"]},{"raw_affiliation_string":"School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454003, China","institution_ids":["https://openalex.org/I4210166499"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073122046"],"corresponding_institution_ids":["https://openalex.org/I4210135633","https://openalex.org/I4210166499"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.7116,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66240065,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"11","issue":"11","first_page":"616","last_page":"616"},"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/T12508","display_name":"Functional Equations Stability Results","score":0.9821000099182129,"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":0.8182872533798218},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.6606833338737488},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.6067137122154236},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5524989366531372},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5055177211761475},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.49010881781578064},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.43766552209854126},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4223189651966095},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32181477546691895},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2814735174179077},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28019630908966064},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14902865886688232}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8182872533798218},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.6606833338737488},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.6067137122154236},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5524989366531372},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5055177211761475},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.49010881781578064},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.43766552209854126},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4223189651966095},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32181477546691895},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2814735174179077},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28019630908966064},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14902865886688232}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11110616","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11110616","pdf_url":"https://www.mdpi.com/2075-1680/11/11/616/pdf?version=1669252755","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:375212f2585742d8b64630f03e674914","is_oa":true,"landing_page_url":"https://doaj.org/article/375212f2585742d8b64630f03e674914","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 11, p 616 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/11/616/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11110616","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 11; Pages: 616","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11110616","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11110616","pdf_url":"https://www.mdpi.com/2075-1680/11/11/616/pdf?version=1669252755","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":0.44999998807907104,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G6304415178","display_name":null,"funder_award_id":"NJZY20119","funder_id":"https://openalex.org/F4320327830","funder_display_name":"Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region"}],"funders":[{"id":"https://openalex.org/F4320327830","display_name":"Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4308475536.pdf","grobid_xml":"https://content.openalex.org/works/W4308475536.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1971904440","https://openalex.org/W1990485388","https://openalex.org/W2056135743","https://openalex.org/W2079760134","https://openalex.org/W2153768579","https://openalex.org/W2155067458","https://openalex.org/W2332403768","https://openalex.org/W4200437682","https://openalex.org/W6647817991","https://openalex.org/W6670565321","https://openalex.org/W6682801803","https://openalex.org/W6702428660","https://openalex.org/W6847146076"],"related_works":["https://openalex.org/W2036371107","https://openalex.org/W2364547801","https://openalex.org/W3012286935","https://openalex.org/W2165495960","https://openalex.org/W4235383192","https://openalex.org/W127429320","https://openalex.org/W2788930696","https://openalex.org/W2365171912","https://openalex.org/W2350695164","https://openalex.org/W3014040003"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,6,24],"authors":[4],"propose":[5],"notions":[7],"of":[8,23],"(\u03b1,s)-geometric-arithmetically":[9,28],"convex":[10,14,29,34],"functions":[11,30],"and":[12,31],"(\u03b1,s,m)-geometric-arithmetically":[13,33],"functions,":[15],"while":[16],"they":[17],"establish":[18],"some":[19],"new":[20],"integral":[21],"inequalities":[22],"Hermite\u2013Hadamard":[25],"type":[26],"for":[27,32],"functions.":[35]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-11-12T00:00:00"}
