Study of an extended trivariate Hilbert integral inequality

Le résumé fourni par la source

In this paper, we establish a new integral inequality that extends the scope of the classical trivariate Hardy-Hilbert integral inequality. The main contributions are (i) to generalize a famous result in the literature with the use of additional adaptable functions and parameters, and (ii) to prove it using a well-calibrated spherical change of variables, which is quite unusual in this area of research. Several special cases are highlighted and other new trivariate integral inequalities are derived.

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