50 citations · 192 across the 15 of their papers we have counts for
16 papers · 1 filter
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…
Some inequalities for the trigamma function in terms of the digamma function
Feng Qi, Cristinel Mortici
In the paper, the authors establish three kinds of double inequalities for the trigamma function in terms of the exponential function to powers of the digamma function. These newly…
Asymptotic series and inequalities associated to some expressions involving the volume of the unit ball
Cristinel Mortici
The aim of this work is to expose some asymptotic series associated to some expressions involving the volume of the n-dimensional unit ball. All proofs and the methods used for imp…
On an infinite series for
Cristinel Mortici, Yue Hu
The aim of this paper is to construct a new expansion of related to Carleman's inequality. Our results extend some results of Yang [Approximations for constant e and th…
On the coefficients of an expansion of related to Carleman's inequality
Yue Hu, Cristinel Mortici
In this note, we present new properties for a sequence arising in some refinements of Carleman's inequality. Our results extend some results of Yang [Approximations for constant e…
On some convergences to the constant e and improvements of Carlemans' inequality
Cristinel Mortici, Hu Yue
We present inequalities and some applications to Kellers' limit and Carlemans' inequality.
A subtly analysis of Wilker inequality
Cristinel Mortici
The aim of this work is to improve Wilker inequalities near the origin and π/2.
Inequalities Becker-Stark at extreme points
Ling Zhu, Cristinel Mortici
The aim of this work is to extend Becker-Stark inequalities near the origin and π/2.
Asymptotic formulas and inequalities for gamma function in terms of tri-gamma function
Cristinel Mortici, Feng Qi
In the paper, the authors establish some asymptotic formulas and double inequalities for the factorial and the gamma function in terms of the tri-gamma function .
A survey on recent extensions of the Stirling formula
Sorinel Dumitrescu, Cristinel Mortici
We present a survey on recent results about Stirling's formula. More exactly, we reffer to a method using a form of Cesaro-Stolz lemma firstly introduced in [C. Mortici Product app…
Latter research on Euler-Mascheroni constant
Valentin Gabriel Cristea, Cristinel Mortici
In this work, we present a review and an example on some latter results on the problem of approximating the Euler-Mascheroni constant. We use the method firstly introduced in [C. M…
Some best approximation formulas and inequalities for Wallis ratio
Feng Qi, Cristinel Mortici
In the paper, the authors establish some best approximation formulas and inequalities for Wallis ratio. These formulas and inequalities improve an approximation formula and a doubl…