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By means of the weight functions, the idea of introduced parameters and the techniques of real analysis, a new Hardy–Hilbert’s integral inequality with two internal variables involving two extended derivative functions of higher-order is obtained. The equivalent statements of the best possible constant factor related to the parameters are considered. Some particular inequalities and the case of the reverses are provided.

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A New Hardy–Hilbert’s Integral Inequality with Two Internal Variables Involving Two Extended Derivative Functions of Higher-Order

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  • 发表日期：

    2026年

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  • B. C. Yang,
  • M. Th. Rassias

摘要

By means of the weight functions, the idea of introduced parameters and the techniques of real analysis, a new Hardy–Hilbert’s integral inequality with two internal variables involving two extended derivative functions of higher-order is obtained. The equivalent statements of the best possible constant factor related to the parameters are considered. Some particular inequalities and the case of the reverses are provided.