3 papers
math.CA2024
The area of Hügelschäffer curves via Taylor series
Maja Petrovic, Branko Malesevic
In this paper, we give new Taylor approximative formulae for the area of the egg-shaped parts of Hügelschäffer curves. Based on a parametrization of the Hügelschäffer curve, a form…
math.GM2019
Some new estimates of precision of Cusa-Huygens and Huygens approximations
Branko Malesevic, Marija Nenezic, Ling Zhu +2
In this paper we present some new upper bounds of the Cusa-Huygens and the Huygens approximations. Bounds are obtained in the forms of some polynomial and some rational functions.
math.MG2019
On the Erdos-Mordell Inequality for Triangles in Taxicab Geometry
Maja Petrovic, Branko Malesevic, Bojan Banjac
In this work the Erdos-Mordell's inequality is examined for the case of a triangle in the taxicab plane geometry. It is shown that the Erdos-Mordell's inequality $R_A + R_B +…