An alternative proof of Elezović-Giordano-Pečarić's theorem

Abstract

In the present note, an alternative proof is supplied for Theorem~1 in [N. Elezović, C. Giordano and J. Pečarić, \textit{The best bounds in Gautschi's inequality}, Math. Inequal. Appl. \textbf{3} (2000), 239\nobreakdash--252.].

5 pages

References in corpus (1)

• Two new proofs of the complete monotonicity of a function involving the psi function

Cited by in corpus (7)

• Bounds for the ratio of two gamma functions--From Wendel's limit to Elezović-Giordano-Pečarić's theorem
• A class of completely monotonic functions involving divided differences of the psi and polygamma functions and some applications
• Completely monotonic degree of a function involving the tri- and tetra-gamma functions
• Necessary and sufficient conditions for a function involving divided differences of the di- and tri-gamma functions to be completely monotonic
• The function $(b^x-a^x)/x$: Ratio's properties
• Some inequalities for the trigamma function in terms of the digamma function
• Logarithmic convexity of Gini means