On a specific ratio-cosine Hardy-Hilbert-type integral inequality in the entire plane
DOI:
https://doi.org/10.24193/subbmath.2026.1.05Keywords:
Hardy-Hilbert-type integral inequalities, integral formulas, ratio-cosine kernel functionAbstract
This article focuses on a particular Hardy-Hilbert-type integral inequality defined in the entire plane. Its innovation lies in its use of a ratio-cosine kernel function, setting it apart from most existing literature on the subject. As a consequence of the main theorem, a related integral inequality of independent interest is also derived. The exposition is self-contained, with full details of all proofs presented and each step carefully justified.
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