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Some new discrete Hilbert's inequalities involving Fenchel-Legendre transform

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Publication:2069314
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DOI10.1186/S13660-020-02310-2zbMath1503.26053OpenAlexW3031293755MaRDI QIDQ2069314

Waleed Mostafa Abuelela, Adnane Hamiaz

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02310-2


zbMATH Keywords

Legendre transformHilbert inequality


Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Inequalities for sums, series and integrals (26D15)


Related Items (2)

New dynamic Hilbert-type inequalities in two independent variables involving Fenchel-Legendre transform ⋮ Discrete Opial type inequalities for interval-valued functions




Cites Work

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  • A survey on the study of Hilbert-type inequalities
  • On Hilbert type inequalities
  • A multiple Hilbert-type integral inequality with a non-homogeneous kernel
  • Short note on Hilbert's inequality
  • An extension of a multidimensional Hilbert-type inequality
  • On some new inequalities similar to Hilbert's inequality
  • An improvement of some inequalities similar to Hilbert's inequality
  • Analytic Inequalities




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