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Generalization Of Yang–Hardy–Hilbert’S Integral Inequality On The Fractal Set „ +α

Author

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  • YINGDI LIU

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

  • QIONG LIU

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

Abstract

Based on local fractional calculus theory, the Hölder double local fractional integral inequality with Weighted is proved. By using the methods of weight function and some analysis techniques on the fractal real set, a local fractional integral inequality with the best constant is given, which is generalization of Yang–Hardy–Hilbert’s inequality on the fractal set ℠+α of fractal dimension α(0 < α ≤ 1) and its equivalent form is considered.

Suggested Citation

  • Yingdi Liu & Qiong Liu, 2022. "Generalization Of Yang–Hardy–Hilbert’S Integral Inequality On The Fractal Set „ +α," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-9, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22500177
    DOI: 10.1142/S0218348X22500177
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