{"id":"https://openalex.org/W4408692913","doi":"https://doi.org/10.3390/axioms14040234","title":"Comprehensive Weighted Newton Inequalities for Broad Function Classes via Generalized Proportional Fractional Operators","display_name":"Comprehensive Weighted Newton Inequalities for Broad Function Classes via Generalized Proportional Fractional Operators","publication_year":2025,"publication_date":"2025-03-21","ids":{"openalex":"https://openalex.org/W4408692913","doi":"https://doi.org/10.3390/axioms14040234"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14040234","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040234","pdf_url":"https://www.mdpi.com/2075-1680/14/4/234/pdf?version=1742554244","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/2075-1680/14/4/234/pdf?version=1742554244","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007865861","display_name":"Mohamed A. Barakat","orcid":"https://orcid.org/0000-0003-4036-6368"},"institutions":[{"id":"https://openalex.org/I184834183","display_name":"Al-Azhar University","ror":"https://ror.org/05fnp1145","country_code":"EG","type":"education","lineage":["https://openalex.org/I184834183"]},{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"Mohamed A. Barakat","raw_affiliation_strings":["Department of Basic Science, University College of Al Wajh, University of Tabuk, Tabuk 71491, Saudi Arabia","Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut 71524, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-4036-6368","affiliations":[{"raw_affiliation_string":"Department of Basic Science, University College of Al Wajh, University of Tabuk, Tabuk 71491, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut 71524, Egypt","institution_ids":["https://openalex.org/I184834183"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007865861"],"corresponding_institution_ids":["https://openalex.org/I184834183","https://openalex.org/I72264486"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":29.2215,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.99765241,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"14","issue":"4","first_page":"234","last_page":"234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9994000196456909,"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":0.9994000196456909,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.9939000010490417,"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":0.6186303496360779},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5918432474136353},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5080246925354004},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5002689361572266},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33694589138031006}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6186303496360779},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5918432474136353},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5080246925354004},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5002689361572266},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33694589138031006},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14040234","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040234","pdf_url":"https://www.mdpi.com/2075-1680/14/4/234/pdf?version=1742554244","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:b0c47a8a45014cecbfe327e985744413","is_oa":true,"landing_page_url":"https://doaj.org/article/b0c47a8a45014cecbfe327e985744413","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 4, p 234 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14040234","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040234","pdf_url":"https://www.mdpi.com/2075-1680/14/4/234/pdf?version=1742554244","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":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408692913.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W16030999","https://openalex.org/W566663226","https://openalex.org/W2155067458","https://openalex.org/W2260121707","https://openalex.org/W2747750973","https://openalex.org/W2764159062","https://openalex.org/W2883444645","https://openalex.org/W2995028956","https://openalex.org/W3029620760","https://openalex.org/W3082509149","https://openalex.org/W3096678151","https://openalex.org/W3167128484","https://openalex.org/W3189744089","https://openalex.org/W3196040008","https://openalex.org/W3210321988","https://openalex.org/W4205879431","https://openalex.org/W4220931737","https://openalex.org/W4285800040","https://openalex.org/W4362619856","https://openalex.org/W4380990225","https://openalex.org/W4386277829","https://openalex.org/W4387006749","https://openalex.org/W4387059153","https://openalex.org/W4387170459","https://openalex.org/W4388026200","https://openalex.org/W4393166639","https://openalex.org/W4399080331","https://openalex.org/W4400316543","https://openalex.org/W6692054458","https://openalex.org/W6799563300","https://openalex.org/W6855823721"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1,42],"work,":[2],"weighted":[3],"Newton-type":[4],"inequalities":[5],"(WN-TI)":[6,52],"for":[7,54],"multiple":[8],"classes":[9],"of":[10,51],"functions":[11],"by":[12],"employing":[13],"generalized":[14],"proportional":[15],"fractional":[16],"(GPF)":[17],"integrals":[18],"are":[19],"established.":[20],"The":[21],"core":[22],"step":[23],"involves":[24],"establishing":[25],"a":[26,31],"key":[27],"integral":[28],"identity":[29,43],"under":[30],"positive":[32],"weighting":[33],"scheme,":[34],"which":[35],"underlies":[36],"all":[37],"subsequent":[38],"results.":[39],"By":[40],"integrating":[41],"with":[44],"GPF":[45],"operators,":[46],"we":[47],"derive":[48],"various":[49],"forms":[50],"suitable":[53],"several":[55],"function":[56],"types,":[57],"including":[58],"differentiable":[59],"convex,":[60],"bounded,":[61],"and":[62],"Lipschitz":[63],"functions.":[64]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}