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A Hilbert-Type Local Fractional Integral Inequality With The Kernel Of A Hyperbolic Cosecant Function

Author

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  • YINGDI LIU

    (School of Economics and Management, Shaoyang University, Shaoyang 422000, P. R. China)

  • QIONG LIU

    (��School of Science, Shaoyang University, Shaoyang 422000, P. R. China)

Abstract

By using Yang’s local fractional calculus theory, the method of weight function, and real-analysis techniques in the fractal set, a general Hilbert-type local fractional integral inequality with the kernel of a hyperbolic cosecant function is established. The necessary and sufficient condition for the constant factor of the general Hilbert-type local fractional integral inequality to be the best possible is discovered. Furthermore, two equivalent inequalities with the best constant factors were obtained.

Suggested Citation

  • Yingdi Liu & Qiong Liu, 2024. "A Hilbert-Type Local Fractional Integral Inequality With The Kernel Of A Hyperbolic Cosecant Function," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(04), pages 1-11.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:04:n:s0218348x24400280
    DOI: 10.1142/S0218348X24400280
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