{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T17:12:23Z","timestamp":1775063543217,"version":"3.50.1"},"reference-count":16,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,7,27]],"date-time":"2025-07-27T00:00:00Z","timestamp":1753574400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"\u201cDun\u0103rea de Jos\u201d University of Gala\u0163i, Romania"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we introduce a new sequence, which approximates the Euler\u2013Mascheroni constant \u03b3 and converges faster to its limit, with the convergence rate n\u22125. Also, for this constant, new inequalities are established. Our result, compared to other sequences with convergence rates n\u22122, n\u22123, or n\u22124, improves some known results.<\/jats:p>","DOI":"10.3390\/axioms14080581","type":"journal-article","created":{"date-parts":[[2025,7,28]],"date-time":"2025-07-28T09:53:02Z","timestamp":1753696382000},"page":"581","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Another New Sequence Which Converges Faster Towards to the Euler\u2013Mascheroni Constant"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1809-3167","authenticated-orcid":false,"given":"Jenic\u0103","family":"Cr\u00eenganu","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Sciences, \u201cDun\u0103rea de Jos\u201d University of Gala\u0163i, 111 Domneasc\u0103 Street, 800201 Gala\u0163i, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"65","DOI":"10.2307\/3613323","article-title":"Approximate evaluation of Euler\u2019s constant","volume":"55","author":"Tims","year":"1971","journal-title":"Math. 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Math., 7408231.","DOI":"10.1155\/2023\/7408231"}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/8\/581\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T18:16:49Z","timestamp":1760033809000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/8\/581"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,27]]},"references-count":16,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2025,8]]}},"alternative-id":["axioms14080581"],"URL":"https:\/\/doi.org\/10.3390\/axioms14080581","relation":{},"ISSN":["2075-1680"],"issn-type":[{"value":"2075-1680","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,7,27]]}}}