9 papers
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.
Double-sided Taylor's approximations and their applications in Theory of analytic inequalities
Branko Malesevic, Marija Rasajski, Tatjana Lutovac
In this paper the double-sided Taylor's approximations are studied. A short proof of a well-known theorem on the double-sided Taylor's approximations is introduced. Also, two new t…
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…
About some exponential inequalities related to the sinc function
Marija Rasajski, Tatjana Lutovac, Branko Malesevic
In this paper we prove some exponential inequalities involving the sinc function. We analyze and prove inequalities with constant exponents as well as inequalities with certain pol…
A new method for proving some inequalities related to several special functions
T. Lutovac, B. Malesevic, M. Rasajski
In this paper we present a new approach to proving some exponential inequalities involving the sinc function. Power series expansions are used to generate new polynomial inequaliti…
Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities
Branko Malesevic, Tatjana Lutovac, Marija Rasajski +1
In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities. We apply these ideas to some inequalities of Wilker-Cusa-Huygens's type.