{"id":"https://openalex.org/W4327953260","doi":"https://doi.org/10.3390/sym15030748","title":"Some New Hermite-Hadamard Type Inequalities Pertaining to Fractional Integrals with an Exponential Kernel for Subadditive Functions","display_name":"Some New Hermite-Hadamard Type Inequalities Pertaining to Fractional Integrals with an Exponential Kernel for Subadditive Functions","publication_year":2023,"publication_date":"2023-03-18","ids":{"openalex":"https://openalex.org/W4327953260","doi":"https://doi.org/10.3390/sym15030748"},"language":"en","primary_location":{"id":"doi:10.3390/sym15030748","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15030748","pdf_url":"https://www.mdpi.com/2073-8994/15/3/748/pdf?version=1679222688","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/3/748/pdf?version=1679222688","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007318507","display_name":"Artion Kashuri","orcid":"https://orcid.org/0000-0003-0115-3079"},"institutions":[{"id":"https://openalex.org/I3130420675","display_name":"University of Vlora \"Ismail Qemali\"","ror":"https://ror.org/05ger6s34","country_code":"AL","type":"education","lineage":["https://openalex.org/I3130420675"]}],"countries":["AL"],"is_corresponding":false,"raw_author_name":"Artion Kashuri","raw_affiliation_strings":["Department of Mathematics, Faculty of Technical and Natural Sciences, University \u201cIsmail Qemali\u201d, 9400 Vlora, Albania","Department of Mathematics, Faculty of Technical and Natural Sciences, University \"Ismail Qemali\", 9400 Vlora, Albania"],"raw_orcid":"https://orcid.org/0000-0003-0115-3079","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Technical and Natural Sciences, University \u201cIsmail Qemali\u201d, 9400 Vlora, Albania","institution_ids":["https://openalex.org/I3130420675"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Technical and Natural Sciences, University \"Ismail Qemali\", 9400 Vlora, Albania","institution_ids":["https://openalex.org/I3130420675"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035042448","display_name":"Soubhagya Kumar Sahoo","orcid":"https://orcid.org/0000-0003-4524-1951"},"institutions":[{"id":"https://openalex.org/I4210125057","display_name":"Vivekananda Global University","ror":"https://ror.org/038mz4r36","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210125057"]},{"id":"https://openalex.org/I4387930198","display_name":"C.V. Raman Global University","ror":"https://ror.org/032583b91","country_code":null,"type":"education","lineage":["https://openalex.org/I4387930198"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Soubhagya Kumar Sahoo","raw_affiliation_strings":["Department of Mathematics, C.V. Raman Global University, Bhubaneswar 752054, India"],"raw_orcid":"https://orcid.org/0000-0003-4524-1951","affiliations":[{"raw_affiliation_string":"Department of Mathematics, C.V. Raman Global University, Bhubaneswar 752054, India","institution_ids":["https://openalex.org/I4210125057","https://openalex.org/I4387930198"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059025015","display_name":"Pshtiwan Othman Mohammed","orcid":"https://orcid.org/0000-0001-6837-8075"},"institutions":[{"id":"https://openalex.org/I64952554","display_name":"University of Sulaimani","ror":"https://ror.org/00saanr69","country_code":"IQ","type":"education","lineage":["https://openalex.org/I64952554"]}],"countries":["IQ"],"is_corresponding":true,"raw_author_name":"Pshtiwan Othman Mohammed","raw_affiliation_strings":["Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Iraq"],"raw_orcid":"https://orcid.org/0000-0001-6837-8075","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Iraq","institution_ids":["https://openalex.org/I64952554"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034642808","display_name":"Eman Al-Sarairah","orcid":"https://orcid.org/0000-0002-0223-4711"},"institutions":[{"id":"https://openalex.org/I100086675","display_name":"Al-Hussein Bin Talal University","ror":"https://ror.org/019dkd780","country_code":"JO","type":"education","lineage":["https://openalex.org/I100086675"]},{"id":"https://openalex.org/I176601375","display_name":"Khalifa University of Science and Technology","ror":"https://ror.org/05hffr360","country_code":"AE","type":"education","lineage":["https://openalex.org/I176601375"]}],"countries":["AE","JO"],"is_corresponding":false,"raw_author_name":"Eman Al-Sarairah","raw_affiliation_strings":["Department of Mathematics, Al-Hussein Bin Talal University, P.O. Box 20, Ma\u2019an 71111, Jordan","Department of Mathematics, Khalifa University, Abu Dhabi P.O. Box 127788, United Arab Emirates","Department of Mathematics, Al-Hussein Bin Talal University, P.O. Box 20, Ma'an 71111, Jordan"],"raw_orcid":"https://orcid.org/0000-0002-0223-4711","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Al-Hussein Bin Talal University, P.O. Box 20, Ma\u2019an 71111, Jordan","institution_ids":["https://openalex.org/I100086675"]},{"raw_affiliation_string":"Department of Mathematics, Khalifa University, Abu Dhabi P.O. Box 127788, United Arab Emirates","institution_ids":["https://openalex.org/I176601375"]},{"raw_affiliation_string":"Department of Mathematics, Al-Hussein Bin Talal University, P.O. Box 20, Ma'an 71111, Jordan","institution_ids":["https://openalex.org/I100086675"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033097731","display_name":"Y. S. Hamed","orcid":"https://orcid.org/0000-0002-0365-0282"},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Y. S. Hamed","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-0365-0282","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5035042448","https://openalex.org/A5059025015"],"corresponding_institution_ids":["https://openalex.org/I4210125057","https://openalex.org/I4387930198","https://openalex.org/I64952554"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":4.9336,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.95715677,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"15","issue":"3","first_page":"748","last_page":"748"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9661999940872192,"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/subadditivity","display_name":"Subadditivity","score":0.8990671634674072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7541913390159607},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5944852828979492},{"id":"https://openalex.org/keywords/exponential-integral","display_name":"Exponential integral","score":0.5783844590187073},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5579191446304321},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5382449626922607},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.500150203704834},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.47602584958076477},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3147081434726715},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2689417898654938},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20888537168502808},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.12527787685394287},{"id":"https://openalex.org/keywords/volume-integral","display_name":"Volume integral","score":0.07185062766075134}],"concepts":[{"id":"https://openalex.org/C19220575","wikidata":"https://www.wikidata.org/wiki/Q1934099","display_name":"Subadditivity","level":2,"score":0.8990671634674072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7541913390159607},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5944852828979492},{"id":"https://openalex.org/C53819440","wikidata":"https://www.wikidata.org/wiki/Q1419948","display_name":"Exponential integral","level":4,"score":0.5783844590187073},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5579191446304321},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5382449626922607},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.500150203704834},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.47602584958076477},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3147081434726715},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2689417898654938},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20888537168502808},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.12527787685394287},{"id":"https://openalex.org/C51577431","wikidata":"https://www.wikidata.org/wiki/Q1788036","display_name":"Volume integral","level":3,"score":0.07185062766075134},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15030748","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15030748","pdf_url":"https://www.mdpi.com/2073-8994/15/3/748/pdf?version=1679222688","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:873e22817b0a48dc9191a29438730d9e","is_oa":false,"landing_page_url":"https://doaj.org/article/873e22817b0a48dc9191a29438730d9e","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":"Symmetry, Vol 15, Iss 3, p 748 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/3/748/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15030748","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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15030748","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15030748","pdf_url":"https://www.mdpi.com/2073-8994/15/3/748/pdf?version=1679222688","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5699999928474426}],"awards":[{"id":"https://openalex.org/G6484652247","display_name":null,"funder_award_id":"TURSP-2020/155","funder_id":"https://openalex.org/F4320323722","funder_display_name":"Taif University"},{"id":"https://openalex.org/G7299194679","display_name":null,"funder_award_id":"TURSP-2020","funder_id":"https://openalex.org/F4320323722","funder_display_name":"Taif University"}],"funders":[{"id":"https://openalex.org/F4320323722","display_name":"Taif University","ror":"https://ror.org/014g1a453"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4327953260.pdf","grobid_xml":"https://content.openalex.org/works/W4327953260.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1492498476","https://openalex.org/W1873046716","https://openalex.org/W1975338460","https://openalex.org/W1982716237","https://openalex.org/W2013912096","https://openalex.org/W2016513002","https://openalex.org/W2075060804","https://openalex.org/W2079404586","https://openalex.org/W2093470907","https://openalex.org/W2151222316","https://openalex.org/W2281357614","https://openalex.org/W2318304944","https://openalex.org/W2570306563","https://openalex.org/W2787696370","https://openalex.org/W2940298931","https://openalex.org/W3031981046","https://openalex.org/W3083821625","https://openalex.org/W3085826100","https://openalex.org/W3086691244","https://openalex.org/W3127570072","https://openalex.org/W3165594393","https://openalex.org/W3204085452","https://openalex.org/W3210605737","https://openalex.org/W4206043966","https://openalex.org/W4224215701","https://openalex.org/W4226216674","https://openalex.org/W4303648179","https://openalex.org/W4312910258","https://openalex.org/W4323525869","https://openalex.org/W6639356951","https://openalex.org/W6748084325","https://openalex.org/W6761854332","https://openalex.org/W6783290080","https://openalex.org/W6806601256","https://openalex.org/W6811153302"],"related_works":["https://openalex.org/W2364547801","https://openalex.org/W1986856081","https://openalex.org/W2007983172","https://openalex.org/W1967802595","https://openalex.org/W2789281687","https://openalex.org/W4293867722","https://openalex.org/W2112192867","https://openalex.org/W2092587068","https://openalex.org/W1964066794","https://openalex.org/W2077973047"],"abstract_inverted_index":{"The":[0],"class":[1,17],"of":[2,10,13,18,28,87,97],"symmetric":[3],"function":[4],"interacts":[5],"extensively":[6],"with":[7,40],"other":[8],"types":[9],"functions.":[11],"One":[12],"these":[14],"is":[15,22],"the":[16,26,75,85],"convex":[19],"functions,":[20],"which":[21],"closely":[23],"related":[24],"to":[25,74],"theory":[27],"symmetry.":[29],"In":[30],"this":[31],"paper,":[32],"we":[33,66,90],"obtain":[34],"some":[35,52,92],"new":[36,60,76],"fractional":[37,77],"Hermite\u2013Hadamard":[38],"inequalities":[39,69],"an":[41,63,80],"exponential":[42,81],"kernel":[43],"for":[44,48,70,94],"subadditive":[45,71,98],"functions":[46,72,99],"and":[47,51,100],"their":[49,101],"product,":[50],"known":[53],"results":[54],"are":[55],"recaptured.":[56],"Moreover,":[57],"using":[58],"a":[59],"identity":[61],"as":[62],"auxiliary":[64],"result,":[65],"deduce":[67],"several":[68],"pertaining":[73],"integrals":[78],"involving":[79],"kernel.":[82],"To":[83],"validate":[84],"accuracy":[86],"our":[88],"results,":[89],"offer":[91],"examples":[93],"suitable":[95],"choices":[96],"graphical":[102],"representations.":[103]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
