Results 11 to 20 of about 90,571 (200)
Minkowski valuations on convex functions [PDF]
Calculus of Variations and Partial Differential Equations, 2017 A classification of SL$(n)$ contravariant Minkowski valuations on convex functions and a characterization of the projection body operator are established. The associated LYZ measure is characterized. In addition, a new SL$(n)$ covariant Minkowski valuation on convex functions is defined and characterized.
Andrea Colesanti +2 more
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Minkowski–Lyapunov functions: Alternative characterization and implicit representation [PDF]
Automatica, 2022 An alternative characterization of Minkowski--Lyapunov functions is derived. The derived characterization enables a computationally efficient utilization of Minkowski--Lyapunov functions in arbitrary finite dimensions. Due to intrinsic duality, the developed results apply in a direct manner to the characterization and utilization of robust positively ...
Saša V Raković
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New approaches to probing Minkowski functionals [PDF]
Monthly Notices of the Royal Astronomical Society, 2013 We generalize the concept of the ordinary skew-spectrum to probe the effect of non-Gaussianity on the morphology of Cosmic Microwave Background (CMB) maps in several domains: in real-space (where they are commonly known as cumulant-correlators), and in harmonic and needlet bases.
Munshi D +5 more
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Topological correlation functions in Minkowski spacetime [PDF]
Nuclear Physics B, 1995 We consider a class of non-unitary Toda theories based on the Lie superalgebras $A^{(1)}(n,n)$ in two-dimensional Minkowski spacetime, which can be twisted into a topological sector. In particular we study the simplest example with $n=1$ and real fields, and show how this theory can be treated as an integrable perturbation of the $A(1,0 ...
Penati, S., Zanon, D.
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Minkowski functionals of Abell/ACO clusters [PDF]
Monthly Notices of the Royal Astronomical Society, 1997 We determine the Minkowski functionals for a sample of Abell/ACO clusters, 401 with measured and 16 with estimated redshifts. The four Minkowski functionals (including the void probability function and the mean genus) deliver a global description of the spatial distribution of clusters on scales from $10$ to $60\hMpc$ with a clear geometric ...
Kerscher M. +8 more
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A New Light on Minkowski's ?(x) Function [PDF]
Journal of Number Theory, 1998 The function \(?(x)\) was introduced by H. Minkowski via Farey fractions. Later R. Salem proved, that if \(x=[0;a_1,a_2,\dots]\) is the expansion of \(x\) as a regular continued fraction, then \[ ?(x)= 2^{1-a_1}- 2^{1-a_1-a_2}+ 2^{1-a_1- a_2-a_3} -\dots.
Pelegrí Viader +2 more
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Some Remarks on Harmonic Functions in Minkowski Spaces
Mathematics, 2019 We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function.
Songting Yin
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Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity
Journal of Mathematics, 2021 In this paper, Hölder, Minkowski, and power mean inequalities are used to establish Ostrowski type inequalities for s-convex functions via h-calculus. The new inequalities are generalized versions of Ostrowski type inequalities available in literature.
Khuram Ali Khan +4 more
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The derivative of the Minkowski function [PDF]
Izvestiya: Mathematics, 2021 Abstract We prove new results on the derivative of the Minkowski question mark function.
Gayfulin, D. R., Kan, I. D.
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On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions
Journal of Inequalities and Applications, 2010 We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtained as well. The analysis used in the proofs is fairly elementary and based on the use of the Minkowski, H&
Erhan Set +2 more
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