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In this paper, we prove that the constant that appears in the two half-discrete Hilbert’s inequalities for three variables of the hyperbolic cosine functions is the best. Also, we introduce the equivalence forms of the two inequalities.

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Hyperbolic Cosine Function in Half-Discrete Hilbert’s Inequality for Three Variables

  • 会议论文

  • 发表日期：

    2026年

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  • Nizar Kh. Al-Oushoush

摘要

In this paper, we prove that the constant that appears in the two half-discrete Hilbert’s inequalities for three variables of the hyperbolic cosine functions is the best. Also, we introduce the equivalence forms of the two inequalities.