26 citations · 115 across the 16 of their papers we have counts for
6 papers · 1 filter
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 …
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.
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…
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…
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…
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…