Monotonicity results and bounds for the inverse hyperbolic sine

TL;DR

This paper investigates the monotonicity properties of functions involving the inverse hyperbolic sine and derives inequalities to establish bounds for this function.

Contribution

It provides new monotonicity results and bounds for the inverse hyperbolic sine, enhancing understanding of its mathematical properties.

Findings

Monotonicity results for functions involving inverse hyperbolic sine

Derived inequalities for bounding inverse hyperbolic sine

Improved bounds for applications requiring inverse hyperbolic sine estimates

Abstract

In this note, we present monotonicity results of a function involving to the inverse hyperbolic sine. From these, we derive some inequalities for bounding the inverse hyperbolic sine.