Results 21 to 30 of about 652 (179)
An Inequality for Minkowski Matrices [PDF]
Proceedings of the American Mathematical Society, 1953 Introduction. The class of Minkowski matrices consists of square matrices of the form a -a, where a is the identity matrix and a, with real or complex elements, satisfies the condition (1). The inequality is given in the lemma, which improves the author's previous result [3, p. 239] by removing two restrictions.2 Refinements of the inequality are given
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Gaussian Brunn-Minkowski inequalities [PDF]
Transactions of the American Mathematical Society, 2010 This paper focuses on two fundamental ingredients of mathematics: Gauss measure \(\gamma_n\), the most important probability measure in \(\mathbb{R}^n\), and the Brunn-Minkowski inequality, one of the most powerful inequalities in analysis and geometry.
Gardner, Richard J., Zvavitch, Artem
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An Improvement of an Inequality of Minkowski. [PDF]
Proc Natl Acad Sci U S A, 1951 Ankeny NC.
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The log-Brunn–Minkowski inequality
Advances in Mathematics, 2012 It is conjectured that for origin-symmetric convex bodies, there exist a family of inequalities each of which is stronger than the classical Minkowski mixed-volume inequality and a family of inequalities each of which is stronger than the classical Brunn-Minkowski inequality.
Böröczky, Károly (Ifj.) +3 more
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Minkowski’s inequality for the AB-fractional integral operator
Journal of Inequalities and Applications, 2019 Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics.
Hasib Khan +4 more
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The Orlicz Brunn–Minkowski inequality
Advances in Mathematics, 2014 The Orlicz-Brunn-Minkowski theory was introduced by Lutwak, Yang and Zhang, being an extension of the classical Brunn-Minkowski theory. It represents a generalization of the \(L_p\)-Brunn-Minkowski theory. For a convex, strictly increasing \(\phi:[0,\infty]\longrightarrow [0,\infty)\), with \(\phi(0)=0\) and \(K,L\) convex and compact sets containing ...
Xi, Dongmeng +2 more
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Diamond-α Jensen's Inequality on Time Scales
Journal of Inequalities and Applications, 2008 The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-α derivatives which are a linear combination of delta and nabla ...
Delfim F. M. Torres +2 more
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Generalizations of Minkowski and Beckenbach–Dresher Inequalities and Functionals on Time Scales
International Journal of Analysis and Applications, 2020 We generalize integral forms of the Minkowski inequality and Beckenbach–Dresher inequality on time scales. Also, we investigate a converse of Minkowski’s inequality and several functionals arising from the Minkowski inequality and the Beckenbach–Dresher ...
Rabia Bibi +2 more
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Non-uniqueness of weak solutions for the fractal Burgers equation [PDF]
, 2009 The notion of Kruzhkov entropy solution was extended by the first author in 2007 to conservation laws with a fractional laplacian diffusion term; this notion led to well-posedness for the Cauchy problem in the $L^\infty$-framework.
Alibaud +26 more
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Modeling Sequences of Long Memory Positive Weakly Stationary Random Variables [PDF]
, 2002 In this paper we introduce a new class of covariance stationary long-memory models on the positive half-line. The overall structure of the models is related to that of GARCH processes of Engle (1982) and Bollerslev (1986), whereby sequence of random ...
Koulikov, Dmitri
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