Mathematics

Complements of classical and dynamic inequalities analyzed on calculus of time scales

M. Sh. Sahir

The University of Lahore

Abstract: In this research article, we present several generalizations of reverses of Callebaut's, Rogers–Hölder's and Cauchy–Schwarz's inequalities via reverses of Young's inequalities on time scales. Discrete, continuous, quantum versions of results are unified and extended on time scales.

Keywords: time scales, reverses of Callebaut's, Rogers–Hölder's and Cauchy–Schwarz's inequalities

MSC: 26D15, 26E70, 34N05

Received: 07.02.2025
Revised: 17.10.2025
Accepted: 25.10.2025

Language: English

DOI: 10.46991/PYSU:A.2025.59.3.094