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- Tomislav Buric, Neven Elezovic
- J. Computational Applied Mathematics
- 2011

- Sanda Stojanović Stipić, Mladen Carev, Goran Kardum, Željka Roje, Damira Milanović Litre, Neven Elezovic
- European journal of anaesthesiology
- 2015

BACKGROUND
Negative postoperative behavioural changes (NPOBCs) are very frequent in children after surgery and general anaesthesia. If they persist, emotional and cognitive development may be affected significantly.
OBJECTIVE
To assess whether the choice of different anaesthetic techniques for adenotonsillectomy may impact upon the incidence of NPOBC in… (More)

The Hermite-Hadamard inequality is used to develop an approximation to the logarithm of the gamma function which is more accurate than the Stirling approximation and easier to derive. Then the concavity of the logarithm of gamma of logarithm is proved and applied to the Jensen inequality. Finally, the Wallis ratio is used to obtain the additional term in… (More)

We give an overview of the use of asymptotic expansions of gamma and related functions — ratio of gamma functions, powers, digamma and polygamma functions. The aim is to introduce a general theory which can unify various particular formulas for factorial functions and binomial coefficients. The connection with inequalities for gamma function is established.… (More)

The subject of this paper is a systematic study of inequalities of the form (1−μ)M1 +μM3 M2 (1−ν)M1 +νM3 which cover Neuman-Sándor mean and some classical means. Furthermore, following inequalities with optimal parameters were proved: μ 1 H(s,t) +(1−μ) 1 NS(s,t) 1 A(s,t) ν 1 H(s,t) +(1−ν) 1 NS(s,t)

- Tomislav Buric, Neven Elezovic
- Applied Mathematics and Computation
- 2013

Let s,t be two given real numbers, s = t and m ∈ N . We determine the coefficients aj(s,t) in the asymptotic expansion of integral (or differential) mean of polygamma functions ψ (m)(x) : 1 t− s ∫ t s ψ (m)(x+u)du ∼ ψ (m) ( x ∞ ∑ j=0 aj(s,t) x j ) , x → ∞. We derive the recursive relations for polynomials aj(t,s) , and also as polynomials in intrinsic… (More)

Asymptotic expansion of the arithmetic-geometric mean is obtained and it is used to analyze inequalities and relations between arithmetic-geometric mean and other classical means. Mathematics subject classification (2010): 26E60, 41A60.

- Neven Elezovic
- Applied Mathematics and Computation
- 2015

- Neven Elezovic, Lenka Vuksic
- Applied Mathematics and Computation
- 2014