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Some inequalities involving \(\pi\) and an application to Hilbert's inequality

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Publication:1975318
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DOI10.1016/S0893-9659(99)00129-9zbMath0977.26009OpenAlexW2008584979MaRDI QIDQ1975318

Lokenath Debnath, Bicheng Yang

Publication date: 9 April 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00129-9


zbMATH Keywords

Carleman inequalityHilbert inequalityEuler summation formula


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)


Related Items (3)

A reverse Hardy-Hilbert-type inequality ⋮ On a Hilbert-type linear series operator and its applications ⋮ A Hilbert-type operator with a symmetric homogeneous kernel of two parameters and its applications




Cites Work

  • Some inequalities involving the constant \(e\), and an application to Carleman's inequality
  • A note on the Hardy-Hilbert inequality
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