Arc (geometry)

Statistics

Bivariate analysis

Mathematics

Quadratic equation

Geometry

Point (geometry)

Quadratic function

Indian Journal of Pure and Applied Mathematics

This paper deals with the arc lemniscate functions from the point view of bivariate means which have been introduced in [1]. In this study, several optimal bounds for these bivariate means in terms of arithmetic, geometric and quadratic means are established. As a consequence, new bounds for the arc lemniscate functions are also derived, which improve some previously known results.

On approximating the arc lemniscate functions