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  Volume 7, Issue 1, Article 29
Some New Inequalities for the Gamma, Beta and Zeta Functions

    Authors: A.McD. Mercer,  
    Keywords: Gamma functions, Beta functions, Zeta functions, Mellin transforms.  
    Date Received: 04/11/05  
    Date Accepted: 13/11/05  
    Subject Codes:

26D15, 33B15.

    Editors: Peter S. Bullen,  

An inequality involving a positive linear operator acting on the composition of two continuous functions is presented. This inequality leads to new inequalities involving the Beta, Gamma and Zeta functions and a large family of functions which are Mellin transforms.

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