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On the Keller limit and generalization

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Publication:265676
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DOI10.1186/s13660-016-1042-zzbMath1345.26005OpenAlexW2304181610WikidataQ59467900 ScholiaQ59467900MaRDI QIDQ265676

Cristinel Mortici, Yue Hu

Publication date: 4 April 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1042-z


zbMATH Keywords

integral expressionconstant \(e\)Keller limit


Mathematics Subject Classification ID

Elementary functions (26A09)


Related Items (3)

A new sequence related to the Euler-Mascheroni constant ⋮ Accurate estimates of (1+x)1/x involved in Carleman inequality and Keller limit ⋮ Approximation properties related to the Bell polynomials



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On certain inequalities involving the constant \(e\) and their applications
  • On an infinite series for \((1 + 1/x)^{x}\) and its application
  • On some convergences to the constant e and improvements of Carlemans' inequality
  • Accurate estimates of (1+x)1/x involved in Carleman inequality and Keller limit
  • Estimates of (1+x)1/x involved in Carleman’s inequality and Keller’s limit
  • Approximations for constant \(e\) and their applications
  • On a conjecture by Yang


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