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Some Inequalities for the Dispersion of a Random Variable whose PDF is Defined on a Finite Interval [PDF]
Some inequalities for the dispersion of a random variable whose pdf is defined on a finite interval and applications are ...
Barnett, Neil S +3 more
core
Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots
We show that the sequence of moduli of the eigenvalues of a matrix polynomial is log-majorized, up to universal constants, by a sequence of "tropical roots" depending only on the norms of the matrix coefficients.
Akian, Marianne +2 more
core +3 more sources
On some matrix counting problems
Abstract We estimate the frequency of singular matrices and of matrices of a given rank whose entries are parametrised by arbitrary polynomials over the integers and modulo a prime p$p$. In particular, in the integer case, we improve a recent bound of V. Blomer and J. Li (2022).
Ali Mohammadi +2 more
wiley +1 more source
An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are given.
S.S. Dragomir, N.S. Barnett, P. Cerone
doaj +2 more sources
Ostrowski inequality provides the estimation of a function to its integral mean. It is useful in error estimations of quadrature rules in numerical analysis.
Young Chel Kwun +4 more
doaj +1 more source
Violation of detailed balance accelerates relaxation
Recent studies have experienced the acceleration of convergence in Markov chain Monte Carlo methods implemented by the systems without detailed balance condition (DBC). However, such advantage of the violation of DBC has not been confirmed in general. We
Ichiki, Akihisa, Ohzeki, Masayuki
core +1 more source
Some Ostrowski type inequalities
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
A note on the squarefree density of polynomials
Abstract The conjectured squarefree density of an integral polynomial P$\mathcal {P}$ in s$s$ variables is an Euler product SP$\mathfrak {S}_{\mathcal {P}}$ which can be considered as a product of local densities. We show that a necessary and sufficient condition for SP$\mathfrak {S}_{\mathcal {P}}$ to be 0 when P∈Z(X1,…,Xs)$\mathcal {P}\in \mathbb {Z}(
R. C. Vaughan, Yu. G. Zarhin
wiley +1 more source
A Hilbert‐space variant of Geršgorin's circle theorem
Abstract We provide a variant of Geršgorin's circle theorem, where the ℓ1$\ell ^1$‐estimates are swapped for ℓ2$\ell ^2$‐estimates, more suitable for the infinite‐dimensional Hilbert space setting.
Marcus Carlsson, Olof Rubin
wiley +1 more source
Generalizations of Steffensen’s inequality via the extension of Montgomery identity
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
doaj +1 more source

