Study of Some New Logarithmic-Hardy-Hilbert-Type Integral Inequalities
Abstract
Numerous logarithmic-Hardy-Hilbert-type integral inequalities have been identified in the literature, and this remains an active area of research. In this article, we introduce and analyze several new variants, thereby expanding the existing collection. Our main contributions are presented in the form of two theorems. Several secondary results are also derived. We provide detailed proofs of all our results to ensure reproducibility and highlight the underlying techniques. Finally, the appendix presents three novel integral formulas of independent interest that arose naturally during our derivations.
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