New sequence and inequalities associated with the Euler-Mascheroni constant using the sum of inverse odd natural numbers

  • Jenică Crînganu “Dunarea de Jos“ University of Galati
DOI: https://doi.org/10.35219/ann-ugal-math-phys-mec.2018.2.03
Keywords: Euler-Mascheroni

Abstract

Using the classical sequence that converges to the Euler-Mascheroni constant, we will define a new sequence and new inequalities associated with the Euler-Mascheroni constant using the sum of inverses numbers of odd natural numbers. As a consequence we establish an estimate for the sum of inverses of odd natural numbers.

Author Biography

Jenică Crînganu, “Dunarea de Jos“ University of Galati

Faculty of Science and Environment, Department of Mathematics and Computer Science, Dunărea de Jos” University of Galati, Romania

Published
2018-11-21
How to Cite
Crînganu, J. (2018) “New sequence and inequalities associated with the Euler-Mascheroni constant using the sum of inverse odd natural numbers”, Analele Universității ”Dunărea de Jos” din Galați. Fascicula II, Matematică, fizică, mecanică teoretică / Annals of the ”Dunarea de Jos” University of Galati. Fascicle II, Mathematics, Physics, Theoretical Mechanics, 41(2), pp. 135-138. doi: https://doi.org/10.35219/ann-ugal-math-phys-mec.2018.2.03.
Issue
Vol 41 No 2 (2018)
Section
Articles

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