A refinement of a double inequality for the gamma function

TL;DR

This paper refines existing bounds on the gamma function by establishing new monotonicity results and improving inequalities, enhancing the precision of gamma function estimates.

Contribution

It introduces a refined double inequality for the gamma function and improves upon known bounds through a new monotonicity analysis.

Findings

Established a new monotonicity property involving the gamma function.

Refined existing double inequalities for tighter bounds.

Improved accuracy of gamma function bounds in mathematical analysis.

Abstract

In the paper, we present a monotonicity result of a function involving the gamma function and the logarithmic function, refine a double inequality for the gamma function, and improve some known results for bounding the gamma function.