GENERALIZATION OF YANG–HARDY–HILBERT’S INTEGRAL INEQUALITY ON THE FRACTAL SET ℠+α

Yingdi Liu () and Qiong Liu
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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

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-9

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.

Keywords: Fractal Set; Hölder Double Local Fractional Integral Inequality with Weighted; Yang–Hardy–Hilbert’s Integral Inequality; Weight Function (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22500177

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