Sharp Bounds for the Ratio of q β Gamma
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Horst Alzer
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Article
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2001
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John Wiley and Sons
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English
β 148 KB
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Let Ξq (0 < q = 1) be the q -gamma function and let s β (0, 1) be a real number. We determine the largest number Ξ± = Ξ±(q, s) and the smallest number Ξ² = Ξ²(q, s) such that the inequalities hold for all positive real numbers x. Our result refines and extends recently published inequalities by Ismail