A refinement of a double inequality for the gamma function (Q2915402)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A refinement of a double inequality for the gamma function |
scientific article; zbMATH DE number 6083235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A refinement of a double inequality for the gamma function |
scientific article; zbMATH DE number 6083235 |
Statements
A refinement of a double inequality for the gamma function (English)
0 references
17 September 2012
0 references
monotonicity
0 references
generalization
0 references
refinement
0 references
sharpening
0 references
inequality
0 references
gamma function
0 references
Descartes' Rule of Signs
0 references
open problem
0 references
conjecture
0 references
A double inequality obtained by \textit{P. Ivády} [J. Math. Inequal. 3, 227--236 (2009; Zbl 1179.26052)] is simplified and generalized. In order to perform refinements, two results are established in Section 2. Three lemmas, those are used to prove two results, are taken from \textit{G. D. Anderson, M. K. Vamanamurthy and M. Vuorinen} [Expo. Math. 7, 97--136 (1989; Zbl 0686.30015)]. Comparison of the second result (Theorem 2) with some known results are fairly studied, and the use of some mathematical softwares is visualized. An open problem and three conjectures are proposed in Section 5. The authors mention that the paper under review is a revised version of the reference [\textit{J.-L. Zhao, B.-N. Guo and F. Qi}, Publ. Math. 80, No. 3--4, 333--342 (2012; Zbl 1265.26026)] of the paper.
0 references
