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Volume 7, Issue 1, Article 29 |
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Some New Inequalities for the Gamma, Beta and Zeta Functions
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Authors: |
A.McD. Mercer, |
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Keywords:
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Gamma functions, Beta functions, Zeta functions, Mellin transforms. |
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Date Received:
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04/11/05 |
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Date Accepted:
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13/11/05 |
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Subject Codes: |
26D15, 33B15.
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Editors: |
Peter S. Bullen, |
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Abstract: |
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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