𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Inequalities for the Euler–Mascheroni constant

✍ Scribed by Chao-Ping Chen

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
278 KB
Volume
23
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Legendre modified moments for Euler's co
Legendre modified moments for Euler's constant
✍ Marc Prévost 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 164 KB

Polynomial moments are often used for the computation of Gauss quadrature to stabilize the numerical calculation of the orthogonal polynomials, see [W.

Best constant inequalities for conjugate
Best constant inequalities for conjugate functions
✍ Matts Essén; Daniel Shea; Charles Stanton 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 80 KB

A survey is given of sharp forms of some classical inequalities for the conjugate function.

Criteria for irrationality of generalize
Criteria for irrationality of generalized Euler's constant
✍ T Hessami Pilehrood; Kh Hessami Pilehrood 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 257 KB

We generalize Sondow's (ir)rationality criteria for Euler's constant and give necessary and sufficient conditions for irrationality of generalized Euler's constant g a ; as well as obtain new asymptotic formulas for computing g a : The proof is based on constructing linear forms in 1; g a and logari