5 papers
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.
Some estimates of precision of the Huygens approximation
Branko Malesevic, Marija Nenezic, Ling Zhu +1
In this paper are given some estimates of precision of the Huygens approximation for right neighbourhood of zero, by determinin…
Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities
Branko Malesevic, Tatjana Lutovac, Marija Rasajski +1
In this paper the double-sided Talor's approximations are used to obtain generalisations and improvements of some trigonometric inequalities.
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 +…
One method for proving some classes of exponential analytic inequalities
Branko Malesevic, Tatjana Lutovac, Bojan Banjac
In this paper we propose a method for proving some exponential inequalities based on power series expansion and analysis of derivations of the corresponding functions. Our approach…