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- W2984190016 abstract "Abstract By using the weight functions, the idea of introduced parameters and the Euler–Maclaurin summation formula, a reverse half-discrete Hilbert’s inequality with the homogeneous kernel and the reverse equivalent forms are given (for ${p<0}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>p</mml:mi><mml:mo><</mml:mo><mml:mn>0</mml:mn></mml:math> , ${0< q<1}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mn>0</mml:mn><mml:mo><</mml:mo><mml:mi>q</mml:mi><mml:mo><</mml:mo><mml:mn>1</mml:mn></mml:math> ). The equivalent statements of the best possible constant factor related to a few parameters are considered. As applications, two corollaries about the case of the non-homogeneous kernel and some particular cases are obtained." @default.
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- W2984190016 date "2019-11-04" @default.
- W2984190016 modified "2023-10-04" @default.
- W2984190016 title "Equivalent properties of a reverse half-discrete Hilbert’s inequality" @default.
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- W2984190016 doi "https://doi.org/10.1186/s13660-019-2236-y" @default.
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