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

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A Hardy-Hilbert’s Integral Inequality with the Internal Variables Involving Two Derivative Functions

  • Bicheng Yang,
  • Michael Th. Rassias

摘要

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