Results 81 to 90 of about 1,692 (153)

New improvements of Jensen’s type inequalities via 4-convex functions with applications

In this article, we present some new improvements of Jensen’s type inequalities via 4-convex and Green functions. These improvements are demonstrated in discrete as well as in integral versions.
Adil Khan M., Khan S., Pečarić Ɖ., Pečarić J.   +3 more
core   +1 more source

Jensen's Inequality and the Impact of Short-Term Environmental Variability on Long-Term Population Growth Rates. [PDF]

PLoS One, 2015
Pickett EJ, Thomson DL, Li TA, Xing S.
europepmc   +1 more source

Geometric Means, Index Mappings and Entropy

, 2002
We define a number of natural maps associated with weighted geometric means and investigate their properties. Several functional inequalities are derived. Interpolations are established for some of these.
Comănescu, Dan, Pearce, Charles, Comanescu, D, Dragomir, Sever S   +3 more
core  

On the Monotonicity of Relative Entropy: A Comparative Study of Petz's and Uhlmann's Approaches. [PDF]

Entropy (Basel)
Matheus S, Bottacin F, Provenzi E.
europepmc   +1 more source

On Inequalities in Normed Linear Spaces and Applications

, 2000
In this paper we obtain inequalities involving the norms of finite sequences of vectors in normed linear spaces, which are new even for complex ...
Koliha, Jerry J, Dragomir, Sever S, Cho, Yeol Je   +2 more
core  

Decision-Making Under Model Misspecification: DRO with Robust Bayesian Ambiguity Sets. [PDF]

Entropy (Basel)
Dellaporta C, O'Hara P, Damoulas T.
europepmc   +1 more source

Generalizations of the Hermite-Hadamard Type Inequalities for Functions whose Derivatives are s-Convex

, 2009
Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are ...
Kirmaci, US, Kirmaci, U. S, Dragomir, Sever S, Alomari, Mohammad, Darus, Maslina   +4 more
core  

An Inequality for Logarithmic Mapping and Applications for the Relative Entropy

, 2000
Using the concavity property of the log mapping and the weighted arithmetic mean - geometric mean inequality, we point out an analytic inequality for the logarithmic map and apply it for the Kullback-Leibler distance in Information Theory.
Dragomir, Sever S
core  

Fat-tailed failure strength distributions and manufacturing defects in advanced composites. [PDF]

Sci Rep
Elhajjar R.
europepmc   +1 more source

Fractal perspective of superquadratic functions with generalized probability estimations. [PDF]

PLoS One
Butt SI, Khan D, Seol Y.
europepmc   +1 more source