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Volume 10, Issue 2, Article 39 |
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A Bound for Certain Bibasic Sums and Applications
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Authors: |
Mingjin Wang, Hongshun Ruan, |
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Keywords:
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Basic hypergeometric function; $q$-binomial coefficient; Euler formula; $q$-Gauss sum; Grüss inequality. |
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Date Received:
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28/06/07 |
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Date Accepted:
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15/05/09 |
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Subject Codes: |
Pri: 26D15; Sec: 33D15; 33D65.
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Editors: |
Sever S. Dragomir, |
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Abstract: |
In this paper, we use the terminating case of the Euler formula, the limiting case of the q-Gauss sum and the Grüss inequality to derive a bound for certain bibasic sums. Applications of the inequality are also given.
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