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Inequalities for Cyclic Functions

Authors:	Horst Alzer Stephan Ruscheweyh Luis Salinas

Affiliation:	Morsbacher Strasse 10, 51545, Waldbröl, Germany^f1;Mathematisches Institut, Universität Würzburg, 97074, Würzburg, Germany^,^f2;Departamento de Informática, Universidad Técnica F. Santa María, Valparaíso, Chile^,^f3

Abstract:	The nth cyclic function is defined by Full-size image We prove that if k is an integer with 1kn−1, then Full-size image holds for all positive real numbers x with the best possible constantsα=1 and β= 2n-k over n.

Keywords:	inequalities cyclic functions gamma function
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