MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
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.

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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