26 citations · 115 across the 16 of their papers we have counts for
17 papers
The best possible constants approach for Wilker-Cusa-Huygens inequalities via stratification
Bojan Banjac, Branko Malesevic, Milos Micovic +2
In this paper, we generalize Cristinel Mortici's results on Wilker-Cusa-Huygens inequalities using stratified families of functions and SimTheP - a system for automated proving of…
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…
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…
One categorization of microtonal scales
Luka Milinkovic, Branko Malesevic, Dragana Pavlovic-Sumarac +2
This study considers rational approximations of musical constant , which defines perfect fifth. This constant has been the subject of the numerous studies, and this…
A proof of an open problem of Yusuke Nishizawa for a power-exponential function
Branko Malesevic, Tatjana Lutovac, Bojan Banjac
This paper presents a proof of the following conjecture, stated by Nishizawa in [Appl. Math. Comput. 269, (2015), 146--154.]: for the inequality $ \displays…
Visualization in teaching and learning mathematics in elementary, secondary and higher education
Branko Malesevic, Ivana Jovovic, Bojan Banjac
In this paper we present our experience in using visualization in mathematics education. The experience with our university courses: "Computer tools in matematics" and "Symbolic al…
A proof of two conjectures of Chao-Ping Chen for inverse trigonometric functions
Branko Malesevic, Bojan Banjac, Ivana Jovovic
In this paper we prove two conjectures stated by Chao-Ping Chen in [Int. Trans. Spec. Funct. 23:12 (2012), 865--873], using a method for proving inequalities of mixed trigonometric…
Geometry of some taxicab curves
Maja Petrovic, Branko Malesevic, Bojan Banjac +1
In this paper we present geometry of some curves in Taxicab metric. All curves of second order and trifocal ellipse in this metric are presented. Area and perimeter of some curves…
A method for extraction of arcs of the algebraic curves
Branko Malesevic, Maja Petrovic, Bojan Banjac +2
In this paper we present a method for extraction of arcs of the algebraic curves of the higher order. Method is applied on conics, Cartesian ovals, trifocal curves and generalized…
Application of polynomial texture mapping in process of digitalization of cultural heritage
Branko Malesevic, Ratko Obradovic, Bojan Banjac +2
In this paper we present modern texture mapping techniques and several applications of polynomial texture mapping in cultural heritage programs. We also consider some well-known an…
The Geometry of Trifocal Curves with Applications in Architecture, Urban and Spatial Planning
Maja Petrovic, Bojan Banjac, Branko Malesevic
In this paper we consider historical genesis of trifocal curve as an optimal curve for solving the Fermat's problem (minimizing the sum of distance of one point to three given poin…
A Computer Verification of a Conjecture About Erdös-Mordell Curve
Bojan D. Banjac, Branko J. Malesevic, Maja M. Petrovic +1
In this paper we consider Erdös-Mordell inequality and its extension in the plane of triangle to the Erdös-Mordell curve. Algebraic equation of this curve is derived, and using mod…
Some notes on a method for proving inequalities by computer
Bojan D. Banjac, Milica D. Makragic, Branko J. Malesevic
In this article we consider mathematical fundamentals of one method for proving inequalities by computer, based on the Remez algorithm. Using the well-known results of undecidabili…