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New sequence converging towards the Euler–Mascheroni constant

✍ Scribed by Chao-Ping Chen; Cristinel Mortici


Book ID
116332406
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
237 KB
Volume
64
Category
Article
ISSN
0898-1221

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📜 SIMILAR VOLUMES


Inequalities for the Euler–Mascheroni co
✍ Chao-Ping Chen 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 278 KB

a b s t r a c t Let γ = 0.577215 . . . be the Euler-Mascheroni constant, and let R n = n k=1 1 2 . This refines the result of D. W. DeTemple, who proved that the double inequality holds with a = 1 and b = 0.