Inequalities for the Psi and $k$-Gamma Functions

TL;DR

This paper derives new inequalities for the Psi and k-Gamma functions using their monotonicity properties, contributing to the mathematical understanding of these special functions.

Contribution

The paper introduces novel inequalities for the Psi and k-Gamma functions based on their monotonicity, expanding existing mathematical bounds.

Findings

Established new inequalities for Psi and k-Gamma functions.

Utilized monotonicity properties to derive bounds.

Enhanced understanding of special functions' behaviors.

Abstract

In this paper, the authors establish some inequalities involving the Psi and $k$-Gamma functions. The procedure utilizes some monotonicity properties of some functions associated with the Psi and $k$-Gamma functions.