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Research Article | Open Access

Certain novel local fractional half-discrete Hilbert-type inequalities with nonhomogeneous kernels

Xiaohong Zuo1, Predrag Vuković2, Wengui Yang1( )
Normal School, Sanmenxia Polytechnic, Sanmenxia 472000, China
University of Zagreb, Faculty of Teacher Education, Savska cesta 77, 10000 Zagreb, Croatia
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Abstract

By employing weight coefficient methods and parameterization techniques, this paper investigates certain novel local fractional half-discrete Hilbert-type inequalities with nonhomogeneous kernels on fractal sets. Furthermore, both the canonical equivalences and its degenerate forms are presented as applications. The main results of this paper can be seen as generalizations and extensions of classical half-discrete Hilbert-type inequalities to the realm of local fractional calculus.

Keywords

Hilbert's inequalityhalf-discrete Hilbert-type inequalitieslocal fractional calculusnonhomogeneous kernelsconjugate parameters
CLC number: 26A33, 26D10, 31A10

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AIMS Mathematics
Volume 10 Issue 8,
August 2025
Pages 17642-17656
DOI: 10.3934/math.2025788

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Cite this article:
Zuo X, Vuković P, Yang W. Certain novel local fractional half-discrete Hilbert-type inequalities with nonhomogeneous kernels. AIMS Mathematics, 2025, 10(8): 17642-17656. https://doi.org/10.3934/math.2025788

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Received: 20 February 2025
Revised: 09 July 2025
Accepted: 17 July 2025
Published: 15 August 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)