{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,29]],"date-time":"2025-12-29T08:09:07Z","timestamp":1766995747884,"version":"3.48.0"},"reference-count":33,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,12,29]],"date-time":"2025-12-29T00:00:00Z","timestamp":1766966400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper we present some key results related to Blundon\u2019s inequality, its long history, geometric interpretations and implications, as well as highlight some connections to results in other fields of mathematics. We make a case that this is a fundamental inequality in triangle geometry. Also, we provide a new proof for the inequalities (8) and we generalize the strong version of Blundon\u2019s inequalities presented in Theorem 1.<\/jats:p>","DOI":"10.3390\/axioms15010026","type":"journal-article","created":{"date-parts":[[2025,12,29]],"date-time":"2025-12-29T07:52:59Z","timestamp":1766994779000},"page":"26","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Complete Strong Version of Blundon\u2019s Inequality"],"prefix":"10.3390","volume":"15","author":[{"given":"Dorin","family":"Andrica","sequence":"first","affiliation":[{"name":"Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, 400084 Cluj-Napoca, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4193-9842","authenticated-orcid":false,"given":"Ovidiu","family":"Bagdasar","sequence":"additional","affiliation":[{"name":"Data Science Research Centre, College of Science & Engineering, University of Derby, Derby DE22 1GB, UK"},{"name":"Department of Mathematics, Faculty of Exact Sciences, \u201c1 Decembrie 1918\u201d University of Alba Iulia, 510009 Alba Iulia, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2094-1938","authenticated-orcid":false,"given":"C\u0103t\u0103lin","family":"Barbu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Vasile Alecsandri National College, 600011 Bacau, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2269-718X","authenticated-orcid":false,"given":"Laurian-Ioan","family":"Pi\u015fcoran","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, North University Center of Baia Mare, Technical University of Cluj Napoca, Victoriei 76, 430122 Baia Mare, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2025,12,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"615","DOI":"10.4153\/CMB-1965-044-9","article-title":"Inequalities associated with the triangle","volume":"8","author":"Blundon","year":"1965","journal-title":"Canad. 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Appl."},{"key":"ref_33","first-page":"197","article-title":"Non-Euclidean version of some classical triangle inequalities","volume":"12","author":"Svrtan","year":"2012","journal-title":"Forum Geom."}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/15\/1\/26\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,29]],"date-time":"2025-12-29T08:07:01Z","timestamp":1766995621000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/15\/1\/26"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12,29]]},"references-count":33,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2026,1]]}},"alternative-id":["axioms15010026"],"URL":"https:\/\/doi.org\/10.3390\/axioms15010026","relation":{},"ISSN":["2075-1680"],"issn-type":[{"value":"2075-1680","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,12,29]]}}}