# Generalized weighted trapezoid and Gr\"uss type inequalities on time scales

## TL;DR

This paper develops new generalized weighted trapezoid and Grüss type inequalities on time scales, unifying continuous and discrete cases, and extending previous results by Pachpatte.

## Contribution

It introduces broader generalized inequalities on time scales for parameter functions, expanding the scope of previous work and covering both continuous and discrete scenarios.

## Key findings

- New generalized inequalities on time scales for parameter functions.
- Unification of continuous and discrete cases.
- Extension of Pachpatte's results.

## Abstract

In this work, we obtain some new generalized weighted trapezoid and Gr\"uss type inequalities on time scales for parameter functions. Our results give a broader generalization of the results due to Pachpatte in \cite{Pach}. In addition, the continuous and discrete cases are also considered from which, other results are obtained.