A HILBERT-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITY WITH THE KERNEL OF A HYPERBOLIC COSECANT FUNCTION

Yingdi Liu and Qiong Liu
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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

FRACTALS (fractals), 2024, vol. 32, issue 04, 1-11

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.

Keywords: Fractal Set; Hilbert-Type Local Fractal Integral Inequality; Hyperbolic Cosecant Function; The Best Constant Factor (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24400280

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