Results 51 to 60 of about 3,706 (120)
Application of Functionals in Creating Inequalities
The paper deals with the fundamental inequalities for convex functions in the bounded closed interval. The main inequality includes convex functions and positive linear functionals extending and refining the functional form of Jensen’s inequality.
Zlatko Pavić +2 more
doaj +1 more source
In this paper, we give refinements of the integral form of Jensen’s inequality and the Lah–Ribarič inequality. Using these results, we obtain a refinement of the Hölder inequality and a refinement of some inequalities for integral power means and ...
J. Pečarić, J. Perić
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Chance Constrained Mixed Integer Program: Bilinear and Linear Formulations, and Benders Decomposition [PDF]
In this paper, we study chance constrained mixed integer program with consideration of recourse decisions and their incurred cost, developed on a finite discrete scenario set.
An, Yu, Kuznia, Ludwig, Zeng, Bo
core
On an upper bound for Sherman’s inequality
Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order.
Slavica Ivelić Bradanović +2 more
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A Refinement of Jensen's Discrete Inequality for Differentiable Convex Functions [PDF]
A refinement of Jensen’s discrete inequality and applications for the celebrated Arithmetic Mean – Geometric Mean – Harmonc Mean inequality and Cauchy-Schwartz-Bunikowski inequality are pointed ...
Dragomir, Sever S, Scarmozzino, F. P
core
Let \(\tau\) be a normal semifinite trace on a von Neumann algebra \(A\), let \(\alpha: A\to A\) be a positive linear contraction and let \(a= a^*\in A\). If \(f\) is a continuous convex function defined on the spectrum of \(a\), then it is shown that if \(\tau(\alpha(f(a))_+)< \infty\) then either \(\tau((f(\alpha(a)))_+)< \infty\) or \(\tau((f(\alpha(
openaire +1 more source
Further inequalities for power series with nonnegative coefficients via a reverse of Jensen inequality [PDF]
Some inequalities for power series with nonnegative coefficients via a new reverse of Jensen inequality are given. Applications for some fundamental functions defined by power series are also provided.
Sever Silvestru Dragomir
doaj
Extensions and improvements of Sherman’s and related inequalities for n-convex functions
This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity.
Bradanović Slavica Ivelić +1 more
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Jensen's inequality for conditional expectations
We study conditional expectations generated by an abelian $ C^* $-subalgebra in the centralizer of a positive functional. We formulate and prove Jensen's inequality for functions of several variables with respect to this type of conditional expectations,
Hansen, Frank
core +2 more sources
The Rényi Redundancy of Generalized Huffman Codes [PDF]
Huffman's algorithm gives optimal codes, as measured by average codeword length, and the redundancy can be measured as the difference between the average codeword length and Shannon's entropy.
Blumer, Anselm C., McEliece, Robert J.
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