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September 10, 2025

Local Fractional Hilbert-Type Inequalities with a Non-Homogeneous Kernel

Key Points

New local fractional hilbert-type inequalities are established, showcasing novel properties.
The application of general kernels allows for a broader study, leading to significant insights.
Optimizing the constants reveals the best possible values for given inequalities.
The findings could have implications in various mathematical and applied contexts.

Abstract

The main objective of this paper is to study some new local fractional Hilbert-type inequalities with a general kernel. We apply our main results to non-homogeneous kernels. In addition, we obtain the best possible constants.

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Cite This Study

Predrag Vuković (Wed,) studied this question.

synapsesocial.com/papers/68c1bb6a54b1d3bfb60ed5e2 https://doi.org/https://doi.org/10.52737/18291163-2025.17.7-1-13

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