5 papers
Accurate estimates of (1+x)^{1/x} Involved in Carleman Inequality and Keller Limit
Branko Malesevic, Yue Hu, Cristinel Mortici
In this paper, using the Maclaurin series of the functions , some inequalities from papers Bicheng Debnath [1998] and Mortici Jang [2015] are generalized. For arbitrar…
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.
The natural algorithmic approach of mixed trigonometric-polynomial problems
Tatjana Lutovac, Branko Malesevic, Cristinel Mortici
The aim of this paper is to present a new algorithm for proving mixed trigonometric-polynomial inequalities by reducing to polynomial inequalities. Finally, we show the great appli…
Multiple-correction and summation of the rational series
Xiaodong Cao, Cristinel Mortici
The goal of this work is to formulate a systematical method for looking for the simple closed form or continued fraction representation of a class of rational series. As applicatio…
Accurate approximations of some expressions involving trigonometric functions
Marija Nenezic, Branko Malesevic, Cristinel Mortici
The aim of this paper is to apply an original computation method due to Malesevic and Makragic [5] to the problem of approximating some trigonometric functions. Inequalities of Wil…