Bounds for the perimeter of an ellipse in terms of power means
Zai-Yin He, Miao-Kun Wang, Yue-Ping Jiang, Yu‐Ming Chu
Abstract
In the article, we provide several precise bounds for the perimeter of an ellipse in terms of the power means, and present new bounds for the complete elliptic integral of the second kind. The given results are the improvements of some earlier results.
Topics & Concepts
EllipsePerimeterMathematicsPower (physics)Pure mathematicsGeometryPhysicsQuantum mechanicsMathematical Inequalities and ApplicationsAnalytic and geometric function theoryMathematical functions and polynomials