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Three new sequences converging to the Euler–Mascheroni constant
-
Da-Wei Niu
,
Liu-Shuan Dong
Published/Copyright:
December 1, 2013
Abstract
In the paper, the authors construct three new sequences converging fast to Euler–Mascheroni constant γ and obtain a sharp double inequality for bounding the harmonic number.
Received: 2012-7-17
Published Online: 2013-12-1
Published in Print: 2013-12-1
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Euler–Mascheroni constant;
Harmonic number;
polygamma function;
speed of convergence
Articles in the same Issue
- Masthead
- Masthead
- The Cardon and Robert Criterion for the Riemann hypothesis
- Multiplications and convolutions in L. Schwartz' spaces of test functions and distributions and their continuity
- Delay difference equations: Coexistence of oscillatory and nonoscillatory solutions
- On an integral formula for differential forms and its applications on manifolds with boundary
- Some Hermite–Hadamard type inequalities for log-h-convex functions
- Asymptotic of some integral
- Argument properties of symmetric analytic functions
- Three new sequences converging to the Euler–Mascheroni constant
- Universality of multivariate interpolation
