Bounds for the normalised Jensen functional
2006 ◽
Vol 74
(3)
◽
pp. 471-478
◽
Keyword(s):
New inequalities for the general case of convex functions defined on linear spaces which improve the famous Jensen's inequality are established. Particular instances in the case of normed spaces and for complex and real n-tuples are given. Refinements of Shannon's inequality and the positivity of Kullback-Leibler divergence are obtained.
2011 ◽
Vol 83
(3)
◽
pp. 500-517
◽
2012 ◽
Vol 52
(4)
◽
pp. 495-511
◽
Keyword(s):
2010 ◽
Vol 82
(1)
◽
pp. 44-61
◽
Keyword(s):
2011 ◽
Vol 54
(9-10)
◽
pp. 2451-2459
◽
2011 ◽
Vol 2011
(1)
◽
1977 ◽
Vol 20
(3)
◽
pp. 307-312
◽
Keyword(s):