Some reverse dynamic inequalities of Hilbert-type using mean inequality
Abstract
This paper contains some new reverse dynamic inequalities of Hilbert-type on delta time scale calculus using mean inequality by applying reverse Hölder's inequality, chain rule on time scales, integration by parts, and the mean inequality. As special cases of our results, we get the discrete, continuous, and quantum analogs of inequalities, i.e., when $ \mathbb{T = N} $, $ \mathbb{T = R} $ and $ \mathbb{T = }q^{\mathbb{N}} $ for $ q > 1 $.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Approximation Theory and Sequence Spaces
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- AIMS Mathematics
- Volume
- 11
- Issue
- 2
- Pages
- 4445–4464
- Publication date
- 1 January 2026
- Language
- EN