67 citations · 403 across the 53 of their papers we have counts for
59 papers
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…
Exponential Polynomials and Stratification in the Theory of Analytic Inequalities
Branko Malesevic, Milos Micovic
This paper considers MEP - Mixed Exponential Polynomials as one class of real exponential polynomials. We introduce a method for proving the positivity of MEP inequalities over pos…
Hugelschaffer egg curve and surface
Maja Petrovic, Branko Malesevic
In this paper we consider Hugelschaffer cubic curves which are generated using appropriate geometric constructions. The main result of this work is the mode of explicitly calculati…
New Refinements of Cusa-Huygens inequality
Christophe Chesneau, Marko Kostic, Branko Malesevic +2
In the paper, we refine and extend Cusa-Huygens inequality by simple functions. In particular, we determine sharp bounds for of the form …
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…