Browsing by Author "Batir, N."

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An Interesting Double Inequality for Euler's Gamma Function
(2004) Batir, N.
In this short paper we derive new and interesting upper and lower bounds for the Euler's gamma function in terms of the digamma function ψ(x) = Γ′(x)/Γ(x).
New Complete Monotonicity Properties of the Gamma Function
(2009) Batir, N.
In this paper we prove new complete monotonicity properties of some functions involving the gamma function.
Sharp Inequalities for Factorial N
(Universidad Catolica del Norte, 2008) Batir, N.
Let n be a positive integer. We prove nn+1e-n√2π/√n-α ≤ n! < nn+1e-n2√2π/√n-β with the best possible constants α = 1- 2π-2 = 0.149663... and β = 1/6 = 0.1666666... This refines and extends a result of Sandor and Debnath, who proved that the double inequality holds with α = 0 and β = 1.
Some New Inequalities for Gamma and Polygamma Functions
(2005) Batir, N.
In this paper we derive some new inequalities involving the gamma function Γ, polygamma functions ψ = Γ′/Γ and ψ′. We also obtained two new sequences converging to Euler-Mascheroni constant γ very quickly. © 2005 Victoria University. All rights reserved.