Rad HAZU, Matematičke znanosti, Vol. 26 (2022), 113-126.

SOME INEQUALITIES ON TIME SCALES SIMILAR TO REVERSE HARDY'S INEQUALITY

Bouharket Benaissa

Faculty of Material Sciences, University of Tiaret-Algeria, Laboratory of Informatics and Mathematics, University of Tiaret, Algeria
e-mail: bouharket.benaissa@univ-tiaret.dz

Abstract.   In this paper, we give new inverted Hardy inequalities on a general time scale by introducing two parameters and a new inequality with negative parameters. The main results are demonstrated using two new lemmas and an interesting proposition. We derive some new corollaries of continuous and discrete choice on time scale.

2020 Mathematics Subject Classification.   26D10, 26E70, 26D15.

Key words and phrases.   Hölder's inequality, Δ-integral, time scales.

Full text (PDF) (free access)

DOI: https://doi.org/10.21857/mnlqgcr4ry

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