Work

Some New Hardy-Type Inequalities with Negative Parameters on Time Scales

Year: 2025

Type: article

Abstract: In this paper, we present new Hardy-type inequalities with negative parameters on a time scale $${\mathbb {T}}$$ T . The adopted approach draws upon the use of a reversed Hölder dynamic inequality, a chain rule, and the integration by parts rule on time scales. In the continuous case, our results contain integral inequalities due to Benaissa and Budak, while in the discrete case, the obtained inequalities are essentially new. Additionally, we demonstrate the applicability of our results in the quantum case.

Source: Qualitative Theory of Dynamical Systems

DOI: 10.1007/s12346-025-01231-z

Authors: Martin Bohner, Irena Jadlovská, Ahmed I. Saied

Institutions: Missouri University of Science and Technology, Technical University of Košice, Slovak Academy of Sciences, Mathematical Institute of the Slovak Academy of Sciences, Benha University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funder: Vedecká Grantová Agentúra MŠVVaŠ SR a SAV