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  • Author or Editor: Bicheng Yang x
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Abstract  

By introducing three parameters A, B and α, and estimating the weight coefficient, we give a new extension of Hilbert's inequality with a best constant factor involving the β function. As applications, we consider the equivalent form and some particular results.

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Summary By introducing some parameters and estimating the weight coefficient, we give a new extension of Hilbert’s inequality with a best constant factor, which involves the β function. As its applications, we consider the equivalent form and some particular results.

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Summary This paper deals with a dual Hardy-Hilbert’s inequality with a best constant factor involving the beta function, which is an extension of the Hilbert’s inequality with the form of (p,q)-parameter. We also consider its extended form and an equivalent inequality.

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