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On Hardy-Hilbert‘s Integral Inequality and Its Equivalent Form

杨必成

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Abstract

In this paper, by introducing three parameters a, b and λ, we give some new generalizations of Hardy-Hilbert's integral inequality. As applications, we con-sider its equivalent form and some particular results.

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In this paper, by introducing three parameters a, b and λ, we give some new generalizations of Hardy-Hilbert's integral inequality. As applications, we con-sider its equivalent form and some particular results.

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Available abstract

In this paper, by introducing three parameters a, b and λ, we give some new generalizations of Hardy-Hilbert's integral inequality. As applications, we con-sider its equivalent form and some particular results.

Key concepts: Mathematics, Inequality, Rearrangement inequality, Kantorovich inequality, Log sum inequality, Pure mathematics, Bessel's inequality, Hölder's inequality

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