One Concave-Convex Inequality and Its Consequences
Keyword(s):
Our starting point is an integral inequality that involves convex, concave and monotonically increasing functions. We provide some interpretations of the inequality, in terms of both probability and terms of linear functionals, from which we further generate completely monotone functions and means. The latter application is seen from the perspective of monotonicity and convexity.
2019 ◽
Vol 13
(3)
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pp. 883-894
2004 ◽
Vol 53
(2)
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pp. 369-386
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Keyword(s):
2013 ◽
Vol 59
(6)
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pp. 3922-3931
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Keyword(s):
2008 ◽
Vol 45
(4)
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pp. 940-952
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2020 ◽
Vol 54
(1 (251))
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pp. 35-43
Keyword(s):
2012 ◽
Vol 437
(2)
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pp. 601-611
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2016 ◽
Vol 19
(5)
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2014 ◽
Vol 46
(3)
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pp. 2008-2032
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