Results 11 to 20 of about 3,374,043 (402)
The Gini coefficient as a useful measure of malaria inequality among populations
Malaria Journal, 2020 Background Understanding inequality in infectious disease burden requires clear and unbiased indicators. The Gini coefficient, conventionally used as a macroeconomic descriptor of inequality, is potentially useful to quantify epidemiological ...
Jonathan Abeles, David J. Conway
doaj +2 more sources
Turán Inequalities for Three Term Recurrences with Monotonic Coefficients [PDF]
arXiv, 2011 We establish some new Tur\'an's type inequalities for orthogonal polynomials defined by a three-term recurrence with monotonic coefficients. As a corollary we deduce asymptotic bounds on the extreme zeros of orthogonal polynomials with polynomially growing coefficients of the three-term recurrence.
Ilia Krasikov
arxiv +2 more sources
Nonstrict inequality for Schmidt coefficients of three-qubit states [PDF]
Phys. Rev. A 88, 042333 (2013), 2013 Generalized Schmidt decomposition of pure three-qubit states has four positive and one complex coefficients. In contrast to the bipartite case, they are not arbitrary and the largest Schmidt coefficient restricts severely other coefficients.
Tamaryan, Levon
core +2 more sources
Measuring Resource Inequality: The Gini Coefficient
Numeracy, 2009 This paper stems from work done by the authors at the Mathematics for Social Justice Workshop held in June of 2007 at Middlebury College. We provide a description of the Gini coefficient and some discussion of how it can be used to promote quantitative ...
Michael T. Catalano +2 more
doaj +3 more sources
Stapledon Decompositions and Inequalities for Coefficients of Chromatic Polynomials [PDF]
arXiv, 2016 We use a polynomial decomposition result by Stapledon to show that the numerator polynomial of the Ehrhart series of an open polytope is the difference of two symmetric polynomials with nonnegative integer coefficients. We obtain a related decomposition for order polytopes and for the numerator polynomial of the corresponding series for chromatic ...
Emerson León
arxiv +3 more sources
Inequality Measures: The Kolkata Index in Comparison With Other Measures [PDF]
Frontiers in Physics, 2020 We provide a survey of the Kolkata index of social inequality, focusing in particular on income inequality. Based on the observation that inequality functions (such as the Lorenz function), giving the measures of income or wealth against that of the ...
Suchismita Banerjee +4 more
doaj +2 more sources
Markov Inequalities for Polynomials with Restricted Coefficients
Journal of Inequalities and Applications, 2009 Essentially sharp Markov-type inequalities are known for various classes of polynomials with constraints including constraints of the coefficients of the polynomials. For ℕ and δ>0 we introduce the class ℱn,δ as the collection of all polynomials of the form P(x)=∑k=hnakxk, ak∈ℤ, |ak|≤n ...
Shaobo Lin, Feilong Cao
openaire +5 more sources
Norm Inequalities for the Fourier Coefficients of Some Almost Periodic Functions [PDF]
arXiv, 2019 Using C. Fefferman's embedding of a charge space in a measure space allows us to apply standard interpolation theorems to prove norm inequalities for Besicovitch almost periodic functions. This yields an analogue of Paley's Inequality for the Fourier coefficients of periodic functions.
Y. Boryshchak, A. Myers, Yoram Sagher
arxiv +3 more sources
Horn inequalities for nonzero Kronecker coefficients [PDF]
Advances in Mathematics, 2019 The Kronecker coefficients and the Littlewood-Richardson coefficients are nonnegative integers depending on three partitions. By definition, these coefficients are the multiplicities of the tensor product decomposition of two irreducible representations of symmetric groups (resp. linear groups).
openaire +5 more sources
Generalized Hilbert coefficients and Northcott's inequality
Journal of Algebra, 2016 Let $R$ be a Cohen-Macaulay local ring of dimension $d$ with infinite residue field. Let $I$ be an $R$-ideal that has analytic spread $\ell(I)=d$, $G_d$ condition and the Artin-Nagata property $AN^-_{d-2}$. We provide a formula relating the length $ (I^{n+1}/JI^{n})$ to the difference $P_I(n)-H_I(n)$, where $J$ is a general minimal reduction of $I ...
Yu Xie
openaire +5 more sources