Neven Elezovic

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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)
Low back pain is the most common pain syndrome and a global health burden. The etiology in most cases is multifactorial and the facet joints can be a source of low back pain. The facet joint is innervated by the medial branch of the dorsal ramus of the spinal nerve. Facet joint disturbances can be responsible for 10% to 50% of all cases of chronic lumbar(More)
Let s , t be two given real numbers , s = t and m ∈ N. We determine the coefficients a j (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) d u ∼ ψ (m) x ∞ ∑ j=0 a j (s, t) x j , x → ∞. We derive the recursive relations for polynomials a j (t , s) , and also as polynomials in(More)