On some Analytic Inequalities for Gauss Hypergeometric Functions via Gruss Discrete Inequality

TL;DR

This paper investigates new inequalities for Gauss hypergeometric functions using Grüss discrete inequality, providing insights into their approximations and potential applications in mathematical analysis.

Contribution

It introduces novel bounds for Gauss hypergeometric functions by applying Grüss discrete inequality, extending existing approximation methods.

Findings

Derived new inequalities for hypergeometric functions.

Provided improved approximation bounds.

Enhanced understanding of hypergeometric function behavior.

Abstract

Recently, many researchers devoted their attention to study the extensions of the gamma and beta functions. In the present work, we focus on investigating some approximations for a class of Gauss hypergeometric functions by exploiting Gr\"{u}ss discrete inequality.