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Inequalities for the Lugo and Euler–Mascheroni constants

Authors
Journal
Applied Mathematics Letters
0893-9659
Publisher
Elsevier
Volume
25
Issue
5
Identifiers
DOI: 10.1016/j.aml.2011.09.076
Keywords
  • Euler–Mascheroni Constant
  • Lugo’S Constant
  • The Psi (Or Digamma) Function
  • Speed Of Convergence
  • Approximation

Abstract

Abstract Lugo’s constant L given by L=−12−γ+ln2 is defined as the limit of the sequence (Ln)n∈N defined by Ln≔∑i=1n∑j=1n1i+j−(2ln2)n+lnn(n∈N≔{1,2,3,…}) as n→∞, where γ denotes the Euler–Mascheroni constant. In this work, we establish new inequalities for the Lugo and Euler–Mascheroni constants.

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