| Two-sided bounds for the complete Butzer-Flocke-Hauss Omega function |
| Tibor K. Pogány, Živorad Tomovski and Delčo Leškovski |
Abstract The main aim of this short note is to obtain two sided bounding inequalities for the real argument Butzer-Flocke-Hauss complete Omega function improving and developing a recent result by Pogány and Srivastava [Some two-sided bounding inequalities for the Butzer-Flocke-Hauss Omega function, Math. Inequal. Appl. 10 (2007), 587--595]. The main tools are the ODE whose particular solution is the Omega function and the related Čaplygin type differential inequality.
|
Keywords: Butzer-Flocke-Hauss complete Omega function, Čaplygin type differential inequality,Čaplygin type comparison theorem, integral representation of the Omega function. |
MSC: 34A40, 26D15, 33E30 |
Pages: 104$-$121 |
Volume 65 , Issue 1 , 2013 |
