Results 31 to 40 of about 7,129 (263)

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

Strong Majorization Entropic Uncertainty Relations

, 2014
We analyze entropic uncertainty relations in a finite dimensional Hilbert space and derive several strong bounds for the sum of two entropies obtained in projective measurements with respect to any two orthogonal bases.
Puchała, Zbigniew, Rudnicki, Łukasz, Życzkowski, Karol   +2 more
core   +1 more source

Aliasing and oblique dual pair designs for consistent sampling [PDF]

, 2014
In this paper we study some aspects of oblique duality between finite sequences of vectors $\cF$ and $\cG$ lying in finite dimensional subspaces $\cW$ and $\cV$, respectively.
Benac, Maria Jose, Massey, Pedro, Stojanoff, Demetrio   +2 more
core   +3 more sources

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
openaire   +1 more source

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

Monotone trace functions of several variables

, 2005
We investigate monotone operator functions of several variables under a trace or a trace-like functional. In particular, we prove the inequality \tau(x_1... x_n)\le\tau(y_1...
Hansen, Frank
core   +1 more source

Slepian’s inequality with respect to majorization

Linear Algebra and its Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang, Longxiang, Zhang, Xinsheng
openaire   +2 more sources

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

Catalytic majorization and $\ell_p$ norms [PDF]

, 2007
An important problem in quantum information theory is the mathematical characterization of the phenomenon of quantum catalysis: when can the surrounding entanglement be used to perform transformations of a jointly held quantum state under LOCC (local ...
Aubrun, Guillaume, Nechita, Ion
core   +2 more sources