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Jensen's inequality

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Jensen's inequality [′jen·sənz ‚in·i′kwäl·ədē]
(mathematics)
A general inequality satisfied by a convex functionwhere thexiare any numbers in the region where ƒ is convex and theaiare nonnegative numbers whose sum is equal to 1.
Ifa1,a2, …,anare positive numbers ands>t> 0, then (a1s+a2s+ ⋯ +ans)1/sis less than or equal to (a1t+a2t+ ⋯ +ant)1/t.
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14) By using Jensen's inequality and 0 < q [less than or equal to] 1, from (2.
Existence of positive radial solutions for elliptic systems (1) by Shengli, Xie; Jiang, Zhu / Advances in Dynamical Systems and Applications
Then by Jensen's inequality ([10]), for each j we have [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Therefore the conclusion follows from (f).
On moment conditions for the Girsanov Theorem by Lee, See Keong / Advances in Theoretical and Applied Mathematics
Then, by Jensen's inequality and the Fubini-Tonelli theorem we have [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Now, the number of terms of the series in the last term of the foregoing inequality does not exceed 2([[gamma]w/[delta] + 1).
Kantorovich-type generalized sampling series in the setting of Orlicz ... by Bardaro, C.; Vinti, G.; Butzer, P.L.; Stens, R.L. / Sampling Theory in Signal and Image Processing
 
 
 
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