# 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

## 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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