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On Generalisations of Hilbert's Inequality

Bicheng Yang

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Abstract

In this paper, by introducing three parameters A, B and λ, and estimating the weight coefficient, we give a new generalization of Hilbert’s inequality with a best constant factor. As applications, we consider its equivalent form and some particular results.

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What this paper is about

In this paper, by introducing three parameters A, B and λ, and estimating the weight coefficient, we give a new generalization of Hilbert’s inequality with a best constant factor. As applications, we consider its equivalent form and some particular results.

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Available abstract

In this paper, by introducing three parameters A, B and λ, and estimating the weight coefficient, we give a new generalization of Hilbert’s inequality with a best constant factor. As applications, we consider its equivalent form and some particular results.

Key concepts: Mathematics, Inequality, Generalization, Constant (computer programming), Hölder's inequality, Log sum inequality, Hilbert space, Rearrangement inequality

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