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2025, Volume 10, Issue 8: 17642-17656. doi: 10.3934/math.2025788
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Research article

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

  • 1.
    Normal School, Sanmenxia Polytechnic, Sanmenxia 472000, China
  • 2.
    University of Zagreb, Faculty of Teacher Education, Savska cesta 77, 10000 Zagreb, Croatia
  • Received: 20 February 2025 Revised: 09 July 2025 Accepted: 17 July 2025 Published: 05 August 2025

  • MSC : 26A33, 26D10, 31A10

  • 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.

    Citation: Xiaohong Zuo, Predrag Vuković, Wengui Yang. Certain novel local fractional half-discrete Hilbert-type inequalities with nonhomogeneous kernels[J]. AIMS Mathematics, 2025, 10(8): 17642-17656. doi: 10.3934/math.2025788

    Related Papers:

  • 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.



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