Two-sided bounds for the complete Butzer-Flocke-Hauss Omega function

Authors

  • Tibor K. Pogány Faculty of Maritime Studies, University of Rijeka, HR-51000 Rijeka, Croatia Author
  • Živorad Tomovski Institute of Mathematics, St. Cyril and Methodius University, MK-1000 Skopje, Macedonia Author
  • Delčo Leškovski Faculty of Technical Sciences, International Balkan University, MK-1000 Skopje, Macedonia Author

Keywords:

Butzer-Flocke-Hauss complete Omega function, Čaplygin type differential

Subjects:

34A40, 26D15, 33E30

Abstract

The main aim of this short note is to obtain two sided bounding inequalities for the real argumentButzer-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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Published

2013-01-15