Results 21 to 30 of about 1,484 (254)
The Concept, Status and Necessity of Homeschooling in the Iranian Education System [PDF]
خانواده و پژوهش, 2021 Homeschooling is going through its early stages in the Iranian education system. There are many ambiguities in the application of this approach at present.
B. Soleimani +3 more
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Circular rearrangement inequality [PDF]
Journal of Mathematical Inequalities, 2018 Summary: This paper presents an analogue of the rearrangement inequality, namely the circular rearrangement inequality. It holds for any finite sequence of real numbers. A volume-invariant packing problem and a combinatorial isoperimetric problem are addressed, as the geometric interpretation of the inequality.
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Isoperimetric inequalities in nonlocal diffusion problems with integrable kernel [PDF]
Opuscula MathematicaWe deduce isoperimetric estimates for solutions of linear stationary and evolution problems. Our main result establishes the comparison in norm between the solution of a problem and its symmetric version when nonlocal diffusion defined through integrable
Gonzalo Galiano
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Stochastic rearrangement inequalities
Journal of Multivariate Analysis, 1987 From authors' introduction: ``Rearrangement inequalities compare the value of a function of vector arguments with the value of the same function after the components of the vectors have been rearranged. The well-known rearrangement inequality of \textit{G. H. Hardy, J. E. Littlewood} and \textit{G. Pólya} [Inequalities. 2nd ed., Cambridge (1952); for a
Chan, Wai +2 more
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Spectral inequalities involving the sums and products of functions
International Journal of Mathematics and Mathematical Sciences, 1982 In this paper, the notation ≺ and ≺≺ denote the Hardy-Littlewood-Pólya spectral order relations for measurable functions defined on a fnite measure space (X,Λ,μ) with μ(X)=a, and expressions of the form f≺g and f≺≺g are called spectral inequalities. If f,
Kong-Ming Chong
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Some Order Preserving Inequalities for Cross Entropy and Kullback–Leibler Divergence
Entropy, 2018 Cross entropy and Kullback⁻Leibler (K-L) divergence are fundamental quantities of information theory, and they are widely used in many fields. Since cross entropy is the negated logarithm of likelihood, minimizing cross entropy is equivalent to ...
Mateu Sbert +3 more
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Rearrangement inequalities involving convex functions [PDF]
Pacific Journal of Mathematics, 1970 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Boundary trace inequalities and rearrangements [PDF]
Journal d'Analyse Mathématique, 2008 Let \(\Omega\) be an open bounded subset of \(\mathbb R^n,\) \(n\geq 2,\) with Lipschitz boundary \(\partial \Omega\), and let \(X(\Omega)\) and \(Y(\partial \Omega)\) be rearrangement invariant spaces. The authors consider the problem of traces for the nonhomogeneous Sobolev spaces \(W^m X(\Omega)\) built upon \(X(\Omega).\) The main result is the ...
CIANCHI, ANDREA, R. KERMAN, L. PICK
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A rearranged good 𝜆 inequality [PDF]
Transactions of the American Mathematical Society, 1986 Let T f Tf be a maximal Calderón-Zygmund singular integral, M f Mf the Hardy-Littlewood maximal function, and w w an A ∞ {A_\infty } weight. We replace the “good λ \lambda ” inequality \[
Richard J. Bagby, Douglas S. Kurtz
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Advanced Nonlinear Studies, 2018 In this paper, we use the rearrangement-free argument, in the spirit of the work by Li, Lu and Zhu [25], on the concentration-compactness principle on the Heisenberg group to establish a sharpened version of the singular Lions concentration-compactness ...
Zhang Caifeng, Chen Lu
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