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In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely… Click to show full abstract
In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely and logarithmically completely monotonic. As consequences, these not only unify and improve certain known results including Qi’s and Ismail’s conclusions, but also can generate some new inequalities.
Keywords:
complete monotonicity;
involving ratios;
gamma functions;
monotonicity involving;
ratios gamma
Journal Title: Journal of Inequalities and Applications
Year Published: 2017
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Journal Title: Journal of Inequalities and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!