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, ratiocosine kernel functionAbstract
This article focuses on a specific Hardy-Hilbert-type integral inequality that is defined in the entire plane. The main contribution is the derivation of a ratio-cosine kernel function, which sets 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 is carefully justified.
Mathematics Subject Classification (2010): 26D15, 33E20.
Received 31 August 2025; Accepted 06 January 2026.
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