Results 31 to 40 of about 7,191 (277)

New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization

Demonstratio Mathematica, 2023
The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq, Khan Muhammad Adil, Faisal Shah, Alsulami Hamed H., Alhodaly Mohammed Sh.   +4 more
doaj   +1 more source

Inequality and majority rule

Analysis, 2020
AbstractI provide a novel argument in favour of majority rule. In particular, I consider the distribution of voter satisfaction in response to the outcome of a vote and prove that under certain conditions majority rule minimizes the level of inequality present in the distribution of voter satisfaction.
openaire   +1 more source

Refinements of some majorization type inequalities [PDF]

Journal of Mathematical Inequalities, 2013
In this paper, we prove refinements of some companion inequalities to the Jensen inequality, namely Slater’s inequality and the inequalities obtained by Matić and Pečarić (2000). We also give refinements of majorization type inequalities, generalized weighted Favard and Berwald inequalities.
Khan, M. Adil, Khalid, Sadia, Pečarić, Josip   +2 more
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Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law

Open Mathematics, 2018
In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed, Pečarić Đilda, Pečarić Josip   +2 more
doaj   +1 more source

Positive maps, majorization, entropic inequalities, and detection of entanglement

, 2008
In this paper, we discuss some general connections between the notions of positive map, weak majorization and entropic inequalities in the context of detection of entanglement among bipartite quantum systems.
Alberti P M, Bhatia R, Breuer H-P, de Vicente J, Hall W, Horodecki R, Horodecki R Horodecki P Horodecki M Horodecki K, Hou J-C, J Stasińska, Kraus K, Marshall A W, Nielsen M A, R Augusiak, Rényi A, Tanahasi K   +14 more
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Integral Jensen–Mercer and Related Inequalities for Signed Measures with Refinements

Mathematics
In this paper, we give necessary and sufficient conditions for the integral Jensen–Mercer inequality and closely related inequalities to be satisfied for finite signed measures.
László Horváth
doaj   +1 more source

A necessary and sufficient condition for the inequality of generalized weighted means

Journal of Inequalities and Applications, 2016
We present in this paper a necessary and sufficient condition to establish the inequality between generalized weighted means which share the same sequence of numbers but differ in the weights.
Mateu Sbert, Jordi Poch
doaj   +1 more source

Some inequalities and majorization for products of τ-measurable operators

Journal of Inequalities and Applications, 2022
In this paper, for a semi-finite von Neumann algebra M $\mathcal{M}$ , we study the Young, Hölder and Heinz means inequalities and extend results for τ-measurable operators. We obtain some refinements of the those inequalities for τ-measurable operators.
Zahra Maleki Khouzani, Seyed Mahmoud Manjegani   +1 more
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Local transformations of superpositions of entangled states

, 2009
Suppose that we have two entangled states $\ket {\phi_1}$, $\ket{\psi_1}$ that cannot be converted to any of other two states $\ket{\phi_2}$, $\ket{\psi_2}$ by local operations and classical communication.
Bowen, Cavalcanti, Chattopadhyay, Fan, Ghiu, Gour, Horodecki, Iulia Ghiu, Jonathan, Linden, Nielsen, Nielsen, Niset, Ou, Song, Song, Xiang, Yu   +17 more
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Weak majorization inequalities for singular values [PDF]

Operators and Matrices, 2013
In this paper, we refine an inequality due to Bhatia and Kittaneh [Linear Algebra Appl. 308 (2000) 203–211], and generalize another inequality by Bhatia and Kittaneh [Lett. Math. Phys. 43 (1998) 225–231]. Mathematics subject classification (2010): 15A18, 15A42, 47A63.
Limin Zou, Chuanjiang He
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