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Patterns of chromosome evolution in ruminants. [PDF]
Arias-Sardá C, Quigley S, Farré M.
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Transition Processes in Technological Systems: Inspiration from Processes in Biological Evolution. [PDF]
Möller M +3 more
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Matrix Reordering for Noisy Disordered Matrices: Optimality and Computationally Efficient Algorithms. [PDF]
Cai TT, Ma R.
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An Energy Minimization Approach to Twinning with Variable Volume Fraction. [PDF]
Conti S, Kohn RV, Misiats O.
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Generalized Hardy inequalities in rearrangement invariant spaces
Lech Maligranda
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Generalized Rearrangement Inequalities
The American Mathematical Monthly, 2001(2001). Generalized Rearrangement Inequalities. The American Mathematical Monthly: Vol. 108, No. 2, pp. 158-165.
Robert Geretschläger, Walther Janous
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Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1980
SynopsisRearrangement inequalities of Ruderman and Minc are generalized.
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SynopsisRearrangement inequalities of Ruderman and Minc are generalized.
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Integral Inequalities for Equimeasurable Rearrangements
Canadian Journal of Mathematics, 1970For a real-valued functionfon the domain [0,b], the equimeasurable decreasing rearrangementf* offis defined as a functionμ–1inverse toμ, whereμ(y) is the measure of the set {x|f(x) >y}. Inequalities connected with rearrangements of sequences as well as functions play a considerable part in various branches of analysis, and, for example, the ...
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Rearrangement Inequalities for Littlewood-Paley Operators
Mathematische Nachrichten, 1987Let \(f^*_ w(t)=\inf \{\lambda >0;w(\{x\in {\mathbb{R}}^ n;| f(x)| >\ell \})\leq t\}\) be the non-decreasing rearrangement of f with respect to a weight w, Mf be the Hardy-Littlewood maximal function of f, and \(M_ qf=M(| f|^ q)^{1/q}.\) The author shows for \(w\in A_{\infty}\).
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Local Khintchine inequality in rearrangement invariant spaces
Annali di Matematica Pura ed Applicata (1923 -), 2013This paper is devoted to analyse the local version of the Kinchin inequality in rearrangement invariant (r.i.)\ Banach function spaces. An r.i.\ space \(X\) satisfies this property if there are constants \(\alpha, \beta >0\) such that for every measurable set \(E \subset [0,1]\) with \(m(E) >0\) there exists \(N:=N(E)\) such that \[ \alpha \varphi_X(m ...
Astashkin, Serguey V. +1 more
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